Well, BTC is highly volatile, so I don't think it's a good idea, otherwise you plan to hold it. However, I'm not a big fan of banks. So, my answer is no
I agree with you. That's not a good idea, unless the bank becomes an exchange that profits from transactions within it. But I also think it's still not good because banks have centralized finance combined with a decentralized financial system whose prices are controlled by the market. So I think what makes the most sense is to create a new, different company to run the business.