> what the world would be like if there was a reversal in roles

Most men would feel flattered. Maybe somehow embarrassed, but mostly flattered.

Because we aren't used at being observed or desired, or even noticed. Being a man, unless you really are handsome, means being "invisible" to most women - until you get their attention showing some noticeable quality.

In a way, it works in reverse for the two genders:

- Women get too much attention, and they suffer from it.

- Men get too little or no attention, and they suffer from it.