With long established institutions (like banks) you still have lots of competitors to choose from, and legal recourse if you are wronged. There is no recourse when PayPals, Amazons and Apples of the world decide to scrub you.
In my case it was Apple refusing to work with a bank because they don't have branches, apparently. It's a well known private bank, with a gazillion businesses banking with them, a subsidiary of a rather large multinational bank. For ten years my company has been paid by, and paid out to, numerous entities in the UK and abroad, with no problems. But now Apple comes around, all arrogant as they are, telling me to switch banks because they have enacted a rule that doesn't exist in any laws, just because they can? I am not willing to go down that route.