A bank with liquidity problems borrows newly printed money from the central bank and repays them with the profit generated from its loans. An insolvent bank that made too many loans that won't be repaid can't repay loans the money printers might offer it and so still gets wiped out. (Its customers get bailed out, but its shareholders don't).
Banks openly lend money to a people who are not the bank's CEO and companies which are not run by the bank's CEO and make a profit on the vast majority of them repaying the money, though typically over a time frame of years, not days. This means the lender of last resort providing funds for those days also expects to get repaid
FTX secretly lent customer funds to a single company run by its CEO to bail it out, and there was no realistic prospect of that money ever being repaid.
If you honestly think that's "equivalent", I'll happily share Paypal details so I can look after some of the money in your bank account in what you consider to be the same way the bank does...
The banks are just on a different level of grift when compared to crypto exchanges