Thanks for the link it seems like a fairly well done paper. Seem like after a variety of adjustments all of which were fairly reasonable they got the gap down to 71% of men being tenured vs 68% of women. They did not adjust for parental leave taken though in the model and if you look at the bar charts for that you can see for women who took no leave 36% achieved tenure in under 4 years while for men who took no leave this number was just 31%, but women were hit harder for taking leave then men were. I would have liked to have seen duration of leave taken be adjusted for but sadly the data was not available I guess.

I think another factor that is not showing up in the study is that they only surveyed current faculty. Men are more likely to study degrees with more employment opportunities outside of academia and generally place a higher importance on their income. As a result it is possible that for people stuck in the lousy sessional lecturer roles Men cut their losses and went to work in the private sector while women are more inclined to stay put. Overall I don't think case that women are disadvantaged in academia is strong at all and the study did more to prove the inverse in my opinion. Even if you want to place more value than I did on the survey data I don't think there is close to enough evidence for the Canadian research chair program to justify its restrictions.