Practically no one endorses "equality of outcome" in itself. It's a question of whether disparate outcomes evidence disparate opportunities (findings like those in question suggest that they may not).
Gender quotas are basically enforcing equality of outcome. If the reason for disparity in some trades isn't discrimination but preferences (as this article strongly suggests) - gender quotas make both man and women less happy to satisfy statistics and ideology. It's insane.
BTW I wonder if people proposing gender quotas because of pay gap would also support gender quotas in hospitals to fight life expectance gap, and gender quotas in psychiatry to fight suicide percentage gap.
