And that has absolutely nothing to do with Visa, but everything to do with your local banks.
I do use my credit card everywere and i'm sure ingdiba is also saving money due to not having offices/ATMs everywhere, but i wouldn't mind if something in the background changes and we can replace Visa/Mastercard with something from the EU.
I still see atm fees over here in the us, so it can't just be being visa. I would guess some regulation but you could get that applied to the digital euro too probably?
My Danish bank imposed a fee on using an ATM from another bank, until my income was high enough to make me a "premium" customer, then these fees were removed. The card didn't change.