Hang on. The OP gets a paper statement already (there's a picture). If the email address is correct, and OP does nothing, what's the worst that could happen?

If the bank wants to waste time and energy with this nonsense, that's their business. As long as nothing real bad can happen, let them at it.

I don't think I'd be inclined to do the "bank's job" when it affects me not a bit. As sure as eggs is eggs, I wouldn't spend hours on the phone or chatline explaining what their problem is. It seems like it's their problems and not the OP's.