Men are currently more influential and powerful than women in the fields examined in the study.

In order for this to make a difference the mentor would have to use that influence to open doors. That is not something you can just claim is happening. Not only have you made the broad and unsubstantiated claim of power, and made the false insinuation that if men as a whole have more power then the individual men in this study must have power; but also are making the unsubstantiated claim that it was used to distort the findings.

It is extremely unlikely that this study has some flaw simply because you invented it. You didn't cite the paper and show that this flaw is there, you just pulled it out of thin air.