For example, they exclude all data from ICU doctors because they're disproportionately men – suppose only the best doctors work in the ICU, by excluding that you're excluding more of the best male doctors than the best of the female doctors resulting in leaving a better population of women in your study.
They correct for illness but not for doctor specialty, perhaps females specialize in things that happen to have lower mortality rates.
... and on and on and on. There are so many variables to possibly correct for that a study like this (especially having skimmed it) is pretty much useless. It would be trivial to do a study like this and get whatever result you wanted. Just stop doing statistical corrections when you get the result you're looking for. P-value doesn't mean anything here because it doesn't capture the ways the study could be wrong.