It would be interesting to see if it’s really because of how they are as individuals or more about the response to social status thing. Like if they did an experiment where high performers were deceived into thinking they were actually performing poorly, and vice-versa, would the attitudes towards women be reversed or not? The conclusions in OP seem to imply the researchers think they would be.
My hypothesis is men with low self esteem would be more misogynistic vs men with high self esteem.
My hypothesis is that if you’re a piece of shit, that will extend to all walks of life(misogny, sucking at video games) whereas if you are not, the same rules apply(equality, excelling at video games)
By being a piece of human garbage you effectively hamstring yourself in every field.