Three small thoughts.
1) There is much commentary that bank troubles will interfere with the Fed's plan to lower inflation by raising rates. Actually, this is a feature not a bug. The main mechanism by which, in the Fed's view, raising interest rates slows the economy and lowers inflation is by "constricting credit," "tightening financial conditions," lowering borrowing that finances investment and consumer durables purchases. The Fed didn't want runs, no, but it wants the result. If you don't like that, well, we need to think of other ways to contain inflation, like taking the fiscal gasoline off the fire.
2) On uninsured deposits. A correspondent suggests that the Fed simply mandate that all large depositors participate in the sorts of services, there for the asking, that split large accounts into multiple $249k accounts spread over multiple banks, or sweeps into money market funds.
I don't think that mandating this system is a good idea. If you're going to do that, of course, you might as well just insure all deposits and keep it simple.
But the suggestion prompts doubt over the oft repeated notion that we want large sophisticated depositors to monitor banks. Anyone who was large and sophisticated enough to monitor banks had already gamed the system to make sure their accounts were insured, at some nontrivial cost in fees and trouble. The only people left with millions in checking accounts were, sort of by definition, financially unsophisticated or too busy running actual companies to bother with this sort of thing. Sort of like taxes.
We might as well give in, that all deposits are here forth insured. If so, of course, then banks are totally gambling with the house's money. But we also have to give in that if they can't spot this elephant in the room, asset risk regulation is hopeless. The only workable answer (of course) is narrow deposit taking -- all runnable deposits invested in reserves and short term treasuries; fund portfolios of long term debt with long-term borrowing (CDs for example) and lots of equity.
3) Liquidity and fixed value are no longer necessarily tied together. I still don't quite get why better payment services are not attached to floating value funds. Then we wouldn't need run-prone bank accounts at all.