Hmm, funnily enough at least a few years ago German Ing-Diba didn't care about rooted phones. I switched banks at some point though, so I have no idea whether that's still true.
It's only a brand, there is almost nothing in common between local branches.
As for ING - about 4-5 years ago it was possible to spoof the check but about 3 years ago they went full bonkers and if you didn't get the app from playstore (so for example aurora) it refused to launch...