The future relationship between banks and crypto is uncertain. Both have some potential conflicts but also a potential collaboration is there. However, it is clear that both will influence each other in the future.
Yes, I agree with you that crypto uses blockchain and bank traditional finance institutions that provide services such as loans, etc. but there are some more things I want to mention.
-As you all know crypto now becoming popular so maybe the bank should adopt their business which will make a new collaboration.
-Banks may be using blockchain for more secure and transparent records.
-The bank will meet with crypto to start a new offer for customers to give them loans based on crypto assets.