FinTech banks are disrupting traditional banks, but what if you want to move your money into a cryptocurrency asset? If you sweep your funds into a cryptocurrency account, what cryptocurrency are you going to use to hold your funds?
We are talking about own funds here, therefore, it should be obvious what crypto are we going to use. And not just that, crypto isn't only the option we have.
Banks in the future will surely be modernized, adopting financial technology ideas. However, some third world countries will still use the traditional way of the banking system as modernizing requires pre-requisites before implementing. It will take time and the economic situation of a certain country matters.
Anyways, I don't see this as big banks going against crypto. The title is misleading to the content of the main post.