Of course, the BTC will be stored by a special custodian institution, not held directly by the bank or kept off the bank's balance sheet. But in the end, I thought, they would not pledge Bitcoin to the bank to get fiat.
You are right, banks will not be able to regulate or use Bitcoin as collateral. Besides, if you really need money, I think there is the option to sell Bitcoin rather than go into debt. Even if you want to take a loan, I think there are other asset options that can be used as collateral. Not all banks agree to accept Bitcoin as collateral. But whether this policy can help people or not is uncertain.
You said
Not all banks agree to accept Bitcoin as collateral. That must mean that there are still banks that do accept Bitcoin as a collateral. So they are also the ones that are able to regulate Bitcoin.
Besides, if you really need money, I think there is the option to sell Bitcoin rather than go into debt
At first, this seems the obvious thing that we shall do but there is truly people that choose to go in debt than selling their precious Bitcoin and the outcome is not always worse. There are times that they don't incur losses, there are also times that they end up earning a little, and sometimes they end up with a very nice profit.
It is only easy to use Bitcoin as a collateral online or in the Bitcoin/crypto world. And if this is the most you own, this is the first thing that comes in your mind. In our forum, if you are a highly trusted member or an OG, it is still possible to take loans here even without a collateral.