Already happening with 'unhosted' wallets being blocked or heavily scrutinized. My personal experience is as follows:

Sent over 20 transactions from US exchange -> US exchange and no problems.

Sent a single transaction from my unhosted software wallet -> US exchange, and got my account locked. Questioned on everything including my employer's information, had do re-do advanced KYC, source of funds etc. (The unhosted wallet was funded from an exchange which makes it stupid, and i didn't use any coinjoins or anything).