The real and concrete steps your banks took has nothing to do with whether a policy like this can increase the chances to identify a robbery suspect when those countermeasures aren't enough. There are obviously other policies and procedures banks can implement that will reduce crime more than asking people to take off hats and sunglasses, but if two banks implement all of those other security best practices, but only one of them implements a no hats/sunglasses policy, the bank that doesn't is in a weaker position to identify suspects in a covert robbery.

You've done nothing to refute this argument other than invoke appeal to authority, where the authority is yourself. If that's all you've got, then we can just agree to disagree.