I've never heard of any bank offering that service.
> no-one is saying that literally every transaction has to be done in cash, just that it should be _possible_ to do so.
Agreed. But it should also be recognized that there are many people who have good reasons to use payment methods other than cash in many situations.
> The idea that cash is this hilariously inconvenient thing is a complete fabrication
No one is claiming that cash is always inconvenient. Just that for many people in many situations, it is.
> You're talking about moving small physical things
If I have to go pay my bills in person, I have to move me, not just some pieces of paper. And if I pay my bills electronically while I'm sitting at my desk at home, I don't have to move anything at all.