I'd like to ask whether the following wouldn't make you at least partly change your mind: in nearly any and every department that is hiring in the junior market, there is an implicit, and often rather explicit, push towards hiring females.
We don't only have the aggregate statistics below. We actually have a clear sense of what mechanism led to the change in the last year. If you don't believe this talk to anyone involved in hiring recently. They will all tell you the same behind closed doors.
The only thing we do not have is systematic evidence - because schools hide it.
Let me get this right,
1) For 6 years ('13-'18), 20% JM stars female relative to 30-35% of all PhDs. EJMR: "there is definitely no discrimination against women"
2) For 1 year ('19), 47% JM stars female relative to 30-35% of PhDs (FYI this is still closer to the window than 20%). EJMR: "reverse sexism! i'm being discriminated against as a man! things have gone way too far!"
The stats still stacked *against* women for 6 out of the 7 years. If things were truly equal, there'd be more women stars relative to population in around half of all years. The 1% of white guys that still thinks you're being discriminated against, you really need to get over yourselves.
[And this is not even factoring in the discrimination that causes only 30-35% of econ profession to be women in the first place (relative to 50% of population). If you you are tempted to as "what discrimination?" you're clearly not actually engaging in this conversation in a productive way (ie listening and responding thoughtfully), you're just being dumb and putting your head in the sand.]