I believe we'll likely see other actions taken by US companies, such as Twitter banning the Tornado Cash account, Microsoft deleting its github repositories, the registrar of its current domain name disabling it, Discord kicking it off, and so forth. Perhaps large RPC providers refusing calls involving the sanctioned addresses, though I think that's less likely.
We will also see an escalation of fiat enabled exchanges refusing to do business with users who bring assets from Tornado Cash connected accounts, however there are other developments in the pipeline that will mitigate this, and increased aggression by proponents of financial exclusion will drive adoption as they are a real pain for legitimate actors too, and also these systems are necessary to increase transaction throughput anyway. (eg. rollup protocols on Ethereum, lightning network protocols on Bitcoin)