It's impossible for an exchange to reject whatever the banks demand from them, otherwise they have no bank accounts. Good luck finding a long term banking partner as exchange. Launching a space shuttle successfully is easier.
I've always wondered why huge exchanges like Coinbase and Bitfinex don't just buy a bank. Just drop a few tens of millions USD and cover the reserve capital requirements, and then losing a banking partner here and there won't hurt so much.
Maybe there are some details I'm glossing over.....
I have to admit that for such a respected exchange Kraken's headlines haven't been too positive in the last couple of months. Hope they don't fuck up because they are the largest BTC/EUR exchange.
I haven't seen any negative headlines lately. Maybe some customer complaints here and there, but that's true of every exchange. I've actually been thinking of signing up there now that Coinbase Pro's fees are so high.