Probably I already was doing that to get free checking.
The only real issue I had with sexism in banking, was when I bought my first house. I applied for my loan through the real estate agent instead of going into a bank, and since I was an ideal customer, with a down payment, sufficient salary, savings, no debt, excellent credit and a unisex name that could easily have been male, there were no hiccups getting that 13.75% loan (groan).
But when I called the bank, about 3 weeks in, to find out the closing date, and they heard a young woman's voice, the next thing was a call back saying I needed a co-signer. The bank suggested "your father," which was not only sexist but futile. My dad wouldn't have cosigned a loan for Jesus himself.