I am not judging, I am merely explaining the data.
The fact is, different groups objectively have different distribution of skills and taking that into account is not really a sexism.
Again, there is no evidence of any objective difference in University teaching skill. In fact, the only data we really have are student ratings which tend to favor the male professors. Also, using group-level average differences to make a probability judgment when no individual-level data is available is thing (though still sexism when you don't have any real data, just assumptions), but in this case the evaluators all had extensive detailed information about teaching skill for each individual candidate. To ignore this in favor of a priori assumed differences between genders is the very definition of sexism.
The studies used large sample of the 3 tiers of 4-year Universities which differ in how much teaching is involved in the job: schools that don't have grad programs or much research and are all about teaching undergrads with a 5-8 course-load per year, schools that have Master's level grad programs with less teaching load, and what are called "Research 1" Universities with PhD grad programs where getting grants and doing research are primary and the teaching load in 1-2 classes per year (sometimes less). The data showed not effect of school type on the pro-female gender bias, meaning that percieved ability to performing teaching responsibilities had little to nothing to do with the effect.
Are you quoting from OP paper?
Universities with PhD and research programs are still mostly about teaching. That's where most money come from.
All faculty members do the teaching. And undergrad teaching is basically babysitting nowadays.
Yes, the paper talks about "teaching-intensive" versus "research-intensive" Universities, and they actually know what they are talking about.
Research 1 Universities, are called that because of their intense research focus. The teaching load for new faculty is often 1-2 courses per year, which amounts to about 10% of their time. Their tenure is determined almost entirely by the research productivity and grant acquisition. The Universities get massive $$ from research grants that their faculty apply for and get. For every $1 that goes to the actual research, about 50 cents goes to the University more generally as "Indirect Cost Recovery". That means, a 5 million dollar grant by one faculty member brings 2.5 million into the Universities coffers, and there are nearly 300 such "Research Universities" whose faculty bring in a minimum of 40 million per year in Federal research grants. A huge % of the undergrad teaching at these schools is done by part-time "adjunct faculty" who cannot get tenure, are not hired via typical faculty searches and are just paid by the class each semester when the departments need someone. Prior teaching experience is barely a factor in tenure-track hiring decisions at such schools. In contrast, it is THE primary factor in hiring at "Liberal Arts" schools with no grad programs that often require 8 courses per year, leaving maybe 10% of the time to do research, without any serious expectations that faculty do much research. My friend just got hired at one such place and was told that 2-3 total papers in the next 5 years would get him tenure. In contrast, the Research University he got his PhD from wouldn't hire a person to even be considered for tenure in 5 years unless they already had 15 publications before they walked in the door, and another 15 in the next 5 years. In sum, being faculty at these schools and the requirements of their respective positions have very little in common.
All I am saying there was another presumably good study which came to the opposite conclusion.
Obviously I am biased toward this OP study but the fact that there are studies with opposite conclusion says there are problems in this whole field.
There is not a "good study with the opposite conclusion". The only other study to use methods allowing for an experimental test of the causal impact of gender on tenure track University hiring was done 18 years ago, and was limited to only Psychology. The difference in recency means it can't be either the same or and opposite result, because it is a study about a rapidly changing attitudes at a different time period. In addition, the single study had small sample sizes. Each evaluator only examined a single job candidate, and a sample of only about 60 faculty evaluating each of the candidates (compared to 363 evaluators in Study 1 of the OP paper). Also, the results of gender were mixed, depending on the objective strength of the applicants. When evaluating a highly competitive, objectively strong candidates with a realistic chance of getting hired at most Universities (as were the candidates in the OP study), they found no difference in the ratings of the candidate when the given name was male versus female. The male named applicant only got higher ratings when the application was rather weak, representing a person fresh out of grad school with little experience or track record (they had zero papers under review or in preparation and only 9 published and 9 conference presentations (that is highly mediocre to below average for a tenure track applicant in Psych).
In sum, the only other relevant finding is a single, non-replicated small sample study showing that 18 years ago, the was no gender bias among strong candidates and a male bias among weak candidates. That doesn't even conflict with the current result, since each paper is about the attitudes and practices of their respective times, and the most comparable results (the competitive candidate merely showed no bias either way, not an opposite bias from the current studies). Finally, each one of the current studies has superior methods to that old one, and their is 5 of them showing cross-context replication.
The only other study done recently that wasn't and experiment, but at least controlled for rates of applying for jobs and other qualification confounds produced a highly similar 2:1 bias in favor of hiring women to tenure track positions. That is cited in the paper, as I mentioned early in the thread.