Nah, I think they'll be fine with self-custody as long as they know who owns the address.
Discussion
Yeah, aint gonna happen. The US is less than 5% of the world population so 95% don't care what they want and out of the other 5% only a few are exposed to BTC. They'll manage just fine.
Potentially though I think most countries will sign up in the same way they do to AML rules. And if businesses using crypto are disallowed from transacting with non-KYC wallets, then most people using them will do it.
I think there's a belief in crypto that everyone shares this hatred of the state and opposition to things like KYC. Most people really don't care.