I did not say women do not face discrimination. They do. And, to varying degrees, everybody does. This is true even in the most homogeneous of societies. The region of birth based discrimination in China is far more vigorous than any form of discrimination we've had in many decades. What matters of course are the consequences of such discrimination. Cultures, interests, and aptitudes vary among any selection of individuals. Even what seem to be completely 'agnostic' selection criterion such as height will yield extreme differences in distributions [1]. So the presumption of equal opportunity leading to equal results is nonsensical. "Bias" is a loaded word, and not completely equal is not the same thing as biased, or at least the connotation of such.
I think there are two salient issues here:
1. There is a severe publication bias both against negative results and results that are not 'meaningful.' Negative results are results that indicate a hypothesis is not true. This sounds reasonable but it isn't in practice as it leads to the scenario we are currently in where finding evidence of discrimination is generally publication worthy. Yet, and this study notwithstanding, finding a lack of discrimination is generally not publication worthy. I expect the replication crisis, which is hitting the social sciences particularly hard, is in part driven by this. People need to publish something, and it generally needs to be shocking. That leads to...
2. Many people's careers and livelihoods depend upon the presence of discrimination. At one time astrology was a science at least as reputable and scholarly as psychology is today. And it's quite likely that a good number people who studied the field for decades had some inclining, perhaps buried deep in the back of their mind, that it was a bunch of crap. But of course they would quickly snuff such wrongthink out simply because such a possibility was unacceptable. After all, what are you to do when you've dedicated your life to something and you come to no longer see it as relevant? You go from a well regarded expert, to a master of nothing perhaps past thee point of being able to reboot your direction in life. No, such possibilities cannot be accepted. This is not to say discrimination is no more real than astrology. It certainly is. But rather I emphasize only that when people's livelihood depends upon finding evidence of discrimination, they will find it - whether or not it exists. "Science advances one funeral at a time."