If they find other ways for making money and adopt them in their banking system then they will flourish. For example they have to provide services for the crypto community like the exchanges are doing one example for them is binance which is earning more money than the bigger banks of Europe (i saw that in an article, which I cannot find it)
I think Banking system and crypto can find a way to work together and compliment each other. Example, Banks can introduce crypto based accounts and crypto based products like Long term fixed deposit of bitcoin where profit is paid in fiat currencies , ETF, loans and many more. I think once crypto is legalized , we will see lot of new crypto based products in the market. As well as people will prefer to open accounts in Banks because their funds will be more secure compared to Exchanges. Banks will definitely provide guarantee of security of funds.
https://www.bcg.com/publications/2020/how-banks-can-succeed-with-cryptocurrency