I they will not put at the bank that have a bad background.
The reputation of the bank actually doesnt matter anyway because once the entire economic system of a country fell apart, no matter how great their previous reputation is then they will probably fell apart too. A bank is not a standalone company because it relly on the country's economic system as well
But that is not that sudden when we are going to make some safe deposit and the economic fell. That is not too coincidence. I think bank reputation is the first one people think to make safe deposit the second one is the rate. Many banks give 'high' deposit just to attract people but when it comes to background their bank is nothing compare to others