I'll also add that regardless of the "feminazi" caricature, virtually all feminists and non-feminist females understand and fully acknowledge that males and females are NOT physically and biologically equal. There are objective and real differences in the anatomy of males and females. Males are larger, stronger, and more aggressive. One might question how much of the aggression is socially instilled, but at least some of it is a direct result of testosterone acting on the body and brain. Testosterone is a steroid; steroids increase aggression. It is known.
So the swapping of sexes may still lead to the same principle of where it is and is not appropriate to see other people naked, as well as which sexes are appropriate in which scenarios. But the actual impact on males and females is different.
Males have a higher rate of violence and sexual aggression. They commit more violent crimes, perpetrate more domestic violence, and engage in more sexual assaults and rapes than females do. Not all males by any means, not even most males. But significantly more than would be found among females.
So if you take any random set of strangers, one male and one female, they will represent different levels of risk. A male will have a higher likelihood of being a danger than a female will. When you add the physical disparity into the mix, it ends up being quite unequal.
A female has a low likelihood of assaulting another female, but if that female does assault them, given that they are of relatively comparable size and strength, the victim has a reasonable likelihood of being able to fight off their attacker and defend themselves.
A female has a low likelihood of assaulting a male, but if that female does assault them, given that the disparity in relative size and strength, the victim has a very high likelihood of being able to fight off their attacker and defend themselves.
A male has a moderate likelihood of assaulting another male, but if that male does assault them, given that they are of relatively comparable size and strength, the victim has a reasonable likelihood of being able to fight off their attacker and defend themselves.
A male has a moderate likelihood of assaulting a female, but if that male does assault them, given that the disparity in relative size and strength, the victim has a very low likelihood of being able to fight off their attacker and defend themselves.
Think about it like Pit Bulls and Papillions. They have unequal levels of innate aggressiveness, as well as unequal levels of strength. The likelihood of a Pit Bull being an aggressor is much higher than the likelihood of a Papillion being an aggressor. But in the event that they do start something, two Pit Bulls have an even chance against each other, two Papillions have an even chance against each other... but in a fight between a Pit Bull and a Papillion, the smart bet is that the Papillion is going down pretty fast.