Banks don't care if you paid taxes. Most of major banks will close your account if they suspect crypto-related transactions. And almost all fintech companies will ban your account if you even just buy crypto with a card payment: Wise, Monzo, Starling, etc.
crypto-related transactions is a different thing from banning banks from dealing in crypto. If banks don't want to deal with the Due-dil that's fair & fine to me. You don't need a bank to use an exchange.
> almost all fintech companies will ban your account
I believe revolut operates in the UK and allows you to trade in btc.
cryptocurrency? Revenue taxes crypto gains so I doubt that.