I don’t think they are necessarily the same. People on Wall Street only see crypto as an opportunity to make more money. Switching to proof of stake does nothing to really change that.

On the other hand, at least some people in the crypto industry care more about the other proprieties: anonymous, unconfiscatable, censorship resistant, fixed issuance/supply, free of central bank/government control, etc.

If you are correct, what reason would Wall Street folks have to be against a ban on mining?

If anything all a ban would do is enhance their ability to take control of crypto and make more money since they will be able to simply buy up the network ownership with their virtually unlimited cash. At least with POW, it actually takes some effort to buy up mining hardware, find an energy source, run the software, keep up operations, keep hardware and software up to date, etc. Much simpler to just buy up a stake and do nothing.