Is that universally a bad thing? Are all US Banks so thinly capitalized that none of them could survive a run? If so, then doesn't that make one question why you'd ever keep money in a Bank in the first place?
I get that the FDIC insurance is supposed to make you whole as long as you have less than $250K in a bank. But then you have to ask if the FDIC can actually cover that for several banks at a time - particularly at a time when the debt ceiling has not been raised and so Treasury can probably ill afford additional unplanned spending.