How does the EU legislation change how that works? It already exists.
Edit: Content ID already covers the requirements of Art. 13 under any reasonable reading of the legislation. Things aren't going to get worse because of the legislation. They'll get worse because of pressure from their content partners and because they refuse to spend on human support. Why spend when you can do nothing instead?
Your speculation doesn't make legal or business sense.
But hey, if you are outside of the EU, no problem. So guess what streamers will do.
This is not rocket science you know. This is just simple cause and consequence.
Stricter filters for EU citizens. And hey, maybe if we are lucky, YouTube decides EU isn't worth the effort anymore and decide to use the block filter.