Banks in crypto is a complete opposite of the essence of bitcoin and would defeat everything that bitcoin stands for which is decentralization. Banks don't become banks because they keep money or they accept deposits or issue loans at an interest rate but they are banks because they comply and continue to comply with the law of the land being overseen by the central bank.
Coming to the crypto bank, who then makes the law, who issue the license, who collects the insurance deposits, who confirms the appointment of directors, who ensures that best practice is kept to the highest level and a host of other conditions that must be met for any business to be regarded as a bank. Ensuring all of this in place has defeated the essence of crypto currencies.
Xapo is a crypto bank in a sense. They are custodians of thousands if not hundred of thousands of private keys which are held by them, and it's their responsibility to keep them safe. Apparently they have an underground cold storage bunker somewhere in switzerland, we have at least picture evidence and im sure there are videos so we can assume that it's all real, im not sure if they've been audited. I would know all of these details if I was choosing them to hold my money obviously, but the idea is that they are indeed a bank. You should also look with massive detail about how much of what you are holding will they cover in case of bankruptcy. Since they are a private company, it could be that you would lose everything in case they file for bankruptcy, so have that in mind.
The last part of your message only shows that Xapo is just a wallet service provider that provide services similar to a bank but not a bank.