As a parent, I can see why one could advocate for equal (+generous) paid parental leave (disclaimer: I support that idea), but I've never heard (nor would I understand) the idea that one should be forced to _take_ such leave.
For an example of the Harrison Bergeron attitude see
https://twitter.com/hoovergreen/status/1258070856745529344?s...
https://twitter.com/r_rusha/status/1258496895824957440?s=21
https://twitter.com/extendedhuckel/status/125806546195191808...
https://twitter.com/kmpjones/status/1258214473757794305?s=21
It is an awful injustice to restrict someone's individual freedoms on the basis of their gender (and no, it's no consolation that it's in service of some arbitrary desire to prevent differences in distributions for some trait between the genders).
[0]: https://mchb.hrsa.gov/whusa11/hstat/hsrmh/downloads/pdf/233m...
I think this is key to addressing discrimination (simply making discrimination illegal is insufficient because discrimination is so difficult to prove); however, getting both genders to take it in roughly equal proportion is probably nearly as difficult, at least apart from mandatory leave, which would be authoritarian and awful.
EDIT: Genuinely curious: why the downvotes? Do people not believe that taking leave in equal proportions is necessary to combat discrimination? Or do they think that it is easy to make people do this ethically? Surely no one thinks we should force people to take leave against their will?