It's infuriating but practically true. I had a few services that received illegitimate DMCA notices that I ignored. They were either blatantly fraudulent, automated junk or just not applicable to the law of the country where I'm hosting.

They escalated to either my hosting or my domain name provider, who then threatened to cut me off for not complying. No discussion with them would work in my favor. I had to comply with this BS. I got cut off several times for completely wrong reasons.

They don't care. It's not worth the legal risk for them. I'm not big enough.

So in the end, the US CAN indeed do that.

You should consider Cloudflare. They don't care if you use their services for criminal purposes.