If the (published) rumor is true that he did in fact grade women lower than men as a TA, then this is the biggest red flag ever of a deep down resentment of women. If when confronted, he changes his behavior and starts giving all women all 100%s and giving all men lower marks would be an in-your-face type of passive/aggressive over-the-top response that would surely get anybody fired.
If those women compared grades and then talked to the professors to complain, then I can see a weak person like BK blame the women for whining and complaining versus blaming himself for being so biased. I can see someone weak with mental illnesses growing deep resentments for something that is not really a reality.
Quite honestly, in every sense of my grade school, middle school, high school and college... my experience was that women were generally smarter than us guys on average. In fact, there is no statistical difference in intelligence between men and women in school.
For him to have missed that basic lesson in life tells me a lot about his weakness and mindset.
If it is true that BK discriminated by gender regarding grades, then this would be a reportable Title IX offense, and this would have consequences for the university and the students involved would have a lawsuit against the university, so that alone (if true) would require the faculty to take BK out of the classroom and take away his TA position and scholarship. Otherwise the institution would be seen as supporting this behavior.
I suspect we will know more about this in the future, if there is a Title IX lawsuit with the U.S. Department of Education, or if Professor Snyder is a witness at the trial (if there is a trial).