From memory, you could get a prepaid SIM without an ID well after 9/11. I think it was introduced to get rid of burner phone SIMs back when SMS was still a thing.
https://www.comparitech.com/blog/vpn-privacy/sim-card-regist...
US Senate tried to pass a similar law back in 2010. Bill sponsors were Chuck Schumer and John Cornyn, in case you ever see those names on your ballot.