My own personal experience as a female software developer is that there is pressure from all sides to go into management, and this pressure can come from both ill and good intent.
Others have mentioned that it might be because of perceived superior communication skills (good?), or perceived lack of "good-enough" technical skills (bad?)... both of these add to the problem, but I've also experienced that diversity-aware companies tend to explicitly want females in management/leadership positions because it sends a stronger message re: caring about diversity than e.g. having a female senior software engineer (As unfortunate as it is, I think most perceive "manager/team lead" as higher up the ladder than "senior software engineer").
A specific example: I worked at a startup where D/I was a huge topic and where we spoke about it during Town Hall all the time. Complaints (mostly from females from within the company, not necessarily from the Engineering department) were always about not having females as team leads, as managers, as directors, on out executive board, etc. So every quarter, each and every competent female engineer would be encouraged to try taking a team lead or management role if there was one open. Of course, a bunch of us (myself included) had 0 interest but the prodding was there.
EDIT: Also, just in case someone is going to take this as proof that "women have it easy" at "woke" companies because the bar is lowered for going into management or something... I feel the need to explicitly state that the bar wasn't lowered. When I say "competent" I actually mean the dictionary definition of "having requisite or adequate ability or qualities". I worked with some badass female engineers, who were certainly skilled enough technically and socially to lead a team.