I don't fully agree with you pawel7777: although as western economic powers it is logical that they are similar in many aspects, and North-American cultural influence over Europe is undeniable (but let's don't forget that vice versa also), there are many economic, social and political conflicting interests between them, and that's the reason why the UK left the EU (Brexited), because their interests fit better with the Commonwealth's than with the Union's.
So I think that you are mixing things up, and if Binance's way is eventually blocked in Europe I don't think it will be due to the influence of the US.
Of course, different countries have different interests, but strong countries always have some power to impose their will onto weaker ones. The Russian-Ukraine war is a good example, it was obvious that Germany and France initially were pushing for peace talks and were hoping for things to return back to normal, but that wasn't in line with US's goals. To make their arguments more convincing, US blew up Nordstream 2 baltic pipe, sending a message to Germany that going back to old ways of buying gas from Russia is no longer an option.
I'm not saying that Europe is totally controlled by the US, but it's undeniable that the US has been pretty effective in forcing their way in the most important issues.
So the question is what's the real reason behind the crypto crackdown. i.e. if they decided that crypto is a major threat to their financial system, then they won't allow the crypto industry to just move and bloom in other countries. Plus, even without US pressure, other countries could come to the same conclusion and start seeing crypto as a threat.