It doesn't.
AML seems a non issue too, as the loan only moves the question.
No, anti-money-laundering laws are at the heart of why the financial system can't do this. KYC laws apply at the customer level, so you only need to handle KYC once per customer. AML laws apply at the transaction level, so you need to apply them to each loan.
Cryptocurrency solves absolutely none of the existing legal reasons that banks can't issue large loans in minutes or seconds to existing (or new, well collateralized) clients.