No, I wouldn't like it. I suggest that we all approach the changing rooms with the maximum amount of clothes that we are allowed to try on. On discovering that it's unisex, we say, "No, that is not acceptable, I will not shop here again until you change your policy. Goodbye." It's not like me to be so bolshie but I'd vote with my purse.
Then dump the items and walk out. If everyone did this the idiots in charge would soon get the message, unless they want to go out of business.