That's why we need salary transparency to really address this. There are a lot underpaid men and a lot of overpaid women. Making this into a male vs. female issue does nothing to address the fact that people are underpaid.
I think it would quite quickly turn into yet another source of conflict between employees. The problem with "equal pay" is direct comparisons only work in jobs that are essentially assembly line work, e.g., person A and person B do exactly the same thing every single day, and their output can be measured in exactly the same way, namely how many widgets each person produces in a given time period. Finding a difference…
We would all occasionally compare over the years and it would always come up that there would be a small difference (<$1k) where someone happened to hit a lucky streak of getting promoted in a better % year, and people's feelings would be hurt.