Isn't it even in the U.S. e.g. enough for some big music firm to claim copyright infringement on a YouTube video for it to be removed and the channel's owner get a copyright strike, no courts and no FBI involved? AFAIK this is what happens with so-called DMCA takedown requests.

The difference is that content creator can put the video on their own website and that domain won't get blocked by my ISP. It might get seized later after some judicial review.

Exactly, in USA they just remove your videos from YouTube and in Spain in Italy they just block your domains on the ISPs for the exact same reasons and both are sometimes fraudulent.