By just submitting name and national ID number, not the copy of the document - I assume you meant non-US ones?
Anything that works with US citizens will require ID copy... at least it used to be so.
Any experience opening business crypto account recently - what kyc do they require (US)?
Not sure. Bilaxy exchange asks for your name and ID number to be able to transact $210,000 per day. It doesn't ask what country that ID is from. Quite likely US IPs are blocked.
I am going to try for a business account for crypto, but I expect it to be a paper heavy process. Though you can setup a business account with Advcash in 24 hours. You can buy crypto there, but we already established they block US IPs. I also think its a Russian operation.