Maybe, but the regulation would inevitably come with changes that probably turn a lot of crypto folks away.
An FDIC-style framework, for example, would require exchanges to submit regular audits. The key difference between this and the proof-of-reserve stuff that Binance has been putting out is that a government auditor determines the outstanding risk of the reserves, not the entity themselves.
I'm a bit skeptical because crypto exchanges have largely been able to create these weird tokens that kind of act like corporate securities while not being actual corporate securities, and any regulatory intervention would put an end to that because that's where a ton of the risk was being laundered in the case of FTX.
Coinbase is probably the best example of an established exchange that's playing by the rules, but crypto enthusiasts hate it for that exact reason.