I am giving Ibrahim/Blucher a pass on the supplies because they are in hostile territory and it is very hard to keep a large army supplied in hostile territory before the invention of railroads, cars, and planes. Sooner or later Rome is going to have to go on the offensive in Europe to end this Latin threat once and for all. (In the East I can see D3 and his high command satisfied with a status quo ante bellum with the exception of the return of the Mashhadshar fortresses to Roman control). Once that happens the Romans will have supply issues when they are campaigning in Latin lands - that's just how things worked back then. I'm not going to rip a leader for not having railroads or motor transport to bring supplies from depots to the front no matter who that leader is or what side he's on.
I focus on First Ruse for a few reasons. It was important enough to get mentioned by the author (Checkov's gun and all that) and it showed that Roman training was at the time lacking. I think some of the tourma involved in the battle hadn't even trained with live D3 muskets before marching. Now, credit to Michael Lascaris for realizing that his men were under-trained and trying to fix that after the battle, but it doesn't discount the fact that the army wasn't up to snuff.
Finally, I focus on that skirmish because of the Archbishop himself. Rome doesn't have anyone like him in the Danube theater - a subordinate leader who can do for Lascaris what the Archbishop did for Blucher. There have been no subordinates shown on the Roman side in either the Danube or Syrian theaters (with the possible exception of our old friend Gabras) who are on the level of the subordinate commanders on the Allied/Ottoman side.
Rome is going to win this war and they are going to win it in large part because of Demetrios III's economic and military reforms. His administrative brilliance should not go unsaid. He's pretty much the first "modern" leader of a Great Power ITTL. My respect for him grows more and more with each update - the guy should go down as one of the most important Emperors in ERE history.
However, his job would be much easier if he had more capable generals leading his armies.