Eh, depends. It's perfectly alright to put in more than the FDIC limit in a bank with consumer banking services. The amount of scrutiny and shit they have to put up with means that they can't really try SVB type shenanigans. You can bet your ass if Wells Fargo, UBS or Chase goes under, the Fed will bail them (you) out. The alternative would be having bigger problems in your plate than that.

Source: I'm a recent Credit Suisse business banking customer. Now UBS.