The short answer is that losing so much of its river and coastal transport would cripple the mainland European economy thus shortening the war.
Really, a lot depends on what's launched.
If it's a quickly assembled force to try to drive on London with some other assaults elsewhere on the coast, maybe 100,000 troops by sea between Cornwall and Scotland and 15,000 by air (based on estimates in Churchill's chapter on Sealion [1]) all with light equipment then the shipping and air transport losses will probably be most significant and a bit over 100,000 killed, missing and captured won't be good news, but probably could be justified for the rewards of any form of success. There would also be a big boost to allied morale.
For a larger attempt (say 200,000 plus focussed on the South East with some supporting heavy equipment) there is no chance of avoiding detection so they will get intercepted by naval forces which won't end well for the invasion fleet and supporting Kriegsmarine forces. It's quite possible that some vessels will turn around and get home, so maybe killed, missing, captured wouldn't be all that much higher but there will also be annoying equipment losses. Loss of sea and air transports would still have the biggest impact, but the effective destruction of the Kriegsmarine (at least for a few months) could free up a lot of British naval resources, even though they would have taken damage and losses. Similarly, the British can more quickly pass Home Defence to Home Guard and other training units to free up regular forces as soon as equipment permits.
In both cases the biggest impact is that the European economy has lost a huge amount of its transport capacity which it will take years to recover from, while the loss of army air transport is probably less crippling but will inconvenience many operations. Losses of roughly 100,000 troops and possibly some equipment is - at this stage of the war - probably not too hard to bear and is minor in comparison.
[1] Edit, actually it's just before the Sealion chapter.