If the bank collapses, you get wiped out. Incentive for the banker is the same. Incentive for the depositor shifts assuming perfect information. But in practice

If the bank collapses, you get wiped out. Incentive for the banker is the same. Incentive for the depositor shifts assuming perfect information. But in practice, information asymmetry makes depositor preference insensitive to bank risk, regardless of insurance. This would just be an acknowledgement “we’re always gonna have to do it for the big guys, might as well make it fair for the little guys too”