Easy for you to say, as a man, though. Has it occurred to you, that women getting undressed, may feel more vulnerable around strange men. Does that matter?
One day, you may have a 7 year old daughter, spath. If you ever sent her into changing rooms while taking her swimming, and she came straight back out and said
"Daddy, there's a naked man in there, I don't want to"
Are you honestly saying, that your response to her would be... "that's because you are a transphobic, darling. Now get back in there and take your clothes off" ?