Bigger gun was a better tool, and it was known to be a better tool for decades before Fuller, Guderian or Hart wrote their 1st sentence about warfare.
We all know that in fact a bigger gun wasn't NOT a better tool per se. As we all know, a gun's effectiveness is a complex matter including rate of fire, accuracy, velocity, shell quality, barrel life and many other factors, and to try to pretend that it's simplistic as "bigger is better" doesn't do anyone any favours.
The low-velocity 3 pdr on the Vickers Medium wasn't a better tool than the 2 pdr. The Vickers "pom pom" had the same calibre as a Bofors 40mm but it wasn't its equal as a tool. A 12 guage shotgun isn't a better tool in many ways than a .303. The British 6" howitzer was not a better tool than the 5.5 inch that replaced it.
I'd put far greater emphasis on what was done/achieved, than what someone thought. What was achieved in the continental armies was the existence of tanks capable for AP work and for HE work, usually in a single tank.
That's not the point, but let's look at "what was done". "What was done" was;
* up until the T34 arrived (ie years after the British created their pre-war tanks and tank guns) the Russians equipped some 14500 of their tanks with 37 or 45mm guns (not 45-57mm) and with only moderate AP and very small amounts of HE filler. As far as I can find out, they also had about 6300 or more only armed with mgs at the start of WW2, a mere 150 BT7As and a tiny number of modified T26s, and 2500 heavies. So about 30% of their tanks just had mgs. The only medium tanks with "proper" HE and AP capacity you mention were the BT7As and T 26s which comprised about 1.1% of the Russian tank fleet - hardly evidence that they saw a great need for a medium tank with "proper" HE.
EDIT TO GIVE MORE DETAILS. The 76 mm KT tank gun model 1927/32 used in the T-28, T-35, the rare BT-7A and the equally rare T-26 "artillery tank" had a MV of only 387 m/s, so it wasn't a gun "capable of HE and AP" in any realistic sense. David Porter in "Soviet Tank Units 1939-45" states that the BT-7A's 76mm was "far more effective against AT guns or field defences than the 45mm (1.8 inch) guns of the standard BT tanks". So here we see that even when you give a 45mm gun HE, it's not very effective.
* the French had about 3000 tanks by the time France was invaded. Most of the light tanks had the 37mm SA/18, which had fairly poor A/T capacity and a tiny 30g of HE filler. The 37mm SA 38 had just 60g filler - ie the same as a hand grenade or the 2 pdr HE shell, and therefore in the words of David Fletcher "hardly worth considering". Other light tanks had the old 37s etc which had very poor AP capacity. So out of 2000 French tanks around when the 2 pdr was created, it seem that were none that were capable of effective AP and HE work.
Later, there were some 400 S35s and 400 Char B1s with the 47mm, which had good A/T capacity and 142g of filler, but that gun was created after the 2 pdr was so it's no evidence that the need for a larger gun should have been obvious when the 2pdr was created.
* EDITED TO GIVE MORE DETAILS. At the start of the war the German tank divisions were said to have 973 Pz 1; 1127 Pz II; 87 Pz III; and 198 Pz IV, plus 177 Czech tanks (which seem to have hd very light HE rounds even by the standards of 37mms) . So 82% of German tanks were armed with automatic weapons only; fewer than 10% had a decent-sized HE round, and a tiny 3% had a high-velocity gun that could also throw a (very small) amount of HE. It looks like the Germans were idiots too.
So "what was done" in other armies was actually not that different to what the British at the time they created the 2pdr. No nation fitted their tanks with 45-57mm weapons with good HE and AP capacity, as you think they should have done,. This was not because just about everyone involved in armour development in the relevant period was a moron - it was done because the future is a lot harder to predict than history is to read, and actually building things is a lot harder than criticising people for not building them.
In an ideal world, the Brits would have had better HE, but that would have involved sacrificing some other aspect of their tanks in order to gain an amount of HE that was "hardly worth considering". To assume that the trade-off they made was obviously wrong at the time is not correct on the evidence. In fact, I notice that you haven't provided any actual evidence to back up your premise that the small/medium HV guns of the period were effective when using HE. They may well have been very useful, but so far you have given no proof of that.
BTW, your words, my bold emphasis:
War experience showed that wouldn't work, and the fact that Hobart and Liddell Hart went off on such flights of fancy indicates that those who didn't follow their hype weren't all conservative - Liddell Hart and Hobart were simply wrong in many ways so it's understandable that they encountered opposition.
The point was that the fact that visionaries like Hobart and Liddell Hart, and everyone else, were so very wrong indicates that it is far, far harder to be correct about foreseeing the future than you appear to think. It's easy to look back and use hindsight - anyone can do that. Actually making accurate predictions about such things is incomparably harder than you appear to believe.
Oh, and many of those who made the decisions IOTL were, unlike you, actually working off real experience. For example, the decision to build a 2 pdr with fast traverse and tanks that fired smoke looks very sensible when actual experience not long before had shown that
"field guns were, at that time, badly handicapped as to the number of tanks they could deal with by not having the wider traverse embodied in the latest type of mounting. In addition, the use of smoke enabled the attacking tanks to arrive almost on top of their objectives before being observed." The same author (Captain G. L. Kaye, M.C., R.F.A) that the 18 pdr Mk IV could achieve all-round fire on "the Vickers platform" which made it
"superior at short ranges, when lateral movement of the target becomes greatly accentuated" although the Mk V was superior in general. Experience had shown that in tank warfare
"The tank will appear anywhere and at any moment. Hence, an all-round field of fire and lightning handling are essential for the gun after a rapid move to the threatened spot." (my emphasis)
So the decisions to get a Vickers-built carriage that allowed 360 traverse for an A/T gun (when suitable) and to use smoke were not born out of extravagence or an ignorance of the downsides - it was born from the experience of people who actually done this stuff, and their appreciation of the fast-moving nature of armoured warfare. The same author, by the way, advocated for 18 pdrs to be mounted on tracks and given armour so they could become tank destroyers - that was a pretty good prediction for 1924. Yes, in the end the face of warfare and the capabilities and sizes weapons changed so that the intelligent decisions to use smoke and full traverse were no longer as important as other factors - but the fact that we know that does not justify sneering at those who did not have the luxury of hindsight.
By the way, US tests found that the 6 pdr's split trail, which you advocated, lead to the gun bouncing during recoil, causing difficulties with gun laying. Again, the experience of people who actually used this stuff runs contrary to your implications that those who were there at the time got it wrong and you get it right.
The 6pdr was actually installed into the Valentine, no such luck for the 12lb 20 cwt. 6 pdr was also installed on the later Crusaders.
Yes, going from 6pdr to 3 pdr was a mistake.
If the 6 pdr is carried over (hopefully the longer barreled type, not the short type), designers of the tank turret will be making a turret for it, not for the small 3 pdr.
So without getting ASBs to throw large bundles of pound bills into the Treasury, where does the money to make the bigger turret and the tank that can handle the bigger gun and turret come from? The British were short of money in the '20s and early to mid '30s. One cannot criticise them for not spending money they did not have.
Thing with the 12lb 20cwt gun was that, as-is, it was too big for the tanks' turrets of the 1930s, and it's recoil momentum will be much greater than that of the 6pdr. British managed to install the ordnance of the 20cwt
in the semi-fixed mount on Churchill, their biggest tank in then-current production.
Yes, but you just changed the size of tank turrets to fit the 6 pdr, as quoted above. So once the ABSs have arrived and the money and resources have been found to mount a long 6 pdr (which is what you wanted) why not make it a 12 pdr? In fact why not make a Centurion?