If someone thinks that having patrons remove hats is somehow going to reduce the likelihood (no matter how remotely) of them getting robbed, then that's the kind of moron I most definitely don't want handling my money.

Seriously, why would anyone trust these jokers with their money?

I'm pretty sure there's a "no robberies" policy at every bank on the planet, yet that doesn't stop the would-be criminals.

Once you impact the normal behavior of your every day customers, you've gone too far. It used to be banks, like most other businesses, needed to compete to earn your business. I try to remind them of that every chance I get. BTW, I worked for a bank at the retail level for over 5 years.