Yep, the bias is not the way they want you to think it is:

"National hiring experiments reveal 2:1 faculty preference for women on STEM tenure track"

https://pmc.ncbi.nlm.nih.gov/articles/PMC4418903/

There was a tweet last week from UN Women:

  Of all journalists killed in 2021, 11% were women. In 2020, this was 6%. Source: @unesco. On the International Day to #EndImpunity for Crimes against journalists, let us say out loud: STOP TARGETING WOMEN JOURNALISTS."

It was removed after being widely mocked. But I think it expresses a common view that if 11% of victims are women, that's a horrible inequity ... to women.

I want to note that if you read the paper carefully you can see that it does highlight some of the things that are still troublesome. Drop out rate, pay, evaluation and other stuff. As someone who believes this is still an issue for women, I can also accept that there can be a bias against men. Both things can be true and the paper does highlight this.