yes, there is a good chance for it as bitcoin gains more popularity and the mixers are used more. but the bigger concern that we should have is if the government agencies start running their own mixers in disguise and become popular!
If governments ban mixers/tumblers, then they could easily do the same to privacy-oriented cryptocurrencies like Monero and Grin. It's all a matter of power and control over people than anything else. What do you think about this?

there is a big difference between shutting down a centralized company that has a physical (singular) place to shut down and a handful of people (the owners of the company) to arrest or put pressure on.
and a decentralized cryptocurrency that relies on its peers that are spread around the world!