My question to them was "what happens if I don't have a mobile phone?" and "What do I do when I am on holiday abroad?" and their responses were (paraphrasing) "You won't be able to use online banking at all in either of those cases."
In order to just get this response I got transferred between like four or five different customer service reps. So I quit my bank of like ten years and when I quit they didn't even care enough to ask my WHY I was quitting.