What I have read is that the "hiring a lab manager" experiments actually only found an effect for candidates that were (a) mediocre and (b) identically qualified. For exceptional candidates, they did not find bias. If there was a clearly better candidate they did not find bias.
Furthermore, the most commonly cited study on this was hiring for a position in a Psychology department. A discipline that is majority female. Other studies have shown that grading tends to be biased towards the gender that is less well represented in a particular field.
And of course there's the Ceci-Williams study that showed a 2:1 advantage for women in STEM tenure track hiring.
I would have dropped a reference except I thought this was so well known it could easily be found. If not, start here: https://www.theatlantic.com/magazine/archive/2017/04/why-is-...
Meanwhile, thanks for the downvotes on spec - maybe save your downvotes for when you have a bibliography, peeps.