You completely misunderstand the situation. The bank failed because of the bank run. It’s unlikely any depositors are going to lose their money because the bank was not insolvent. They’re going to get 50-60% of their deposits by Monday or Tuesday.
*OBVIOUSLY* the bank failed because of the bank run. What the hell does that have to do with the pertinent question of: was it rational to withdraw? Those that panicked first won. Those that didn't lost.
A bank run is a self fulfilling prophecy driven by irrational fear. It is, by definition, irrational. It also doesn’t happen much any more because most banks aren’t susceptible to them (ie. have 90%+ deposits uninsured).