For level setting, I would like to see the results of the “reverse Bechdel” test: a scene where two named male characters talk about something other than a woman.
The numbers will surely be higher than for the standard Bechdel, but I doubt they are 100%: for example, any episode primarily about heterosexual romance will risk failing both tests. TOS seems like it should hit that mark pretty reliably, but the prevalence of episodes where Kirk gets stuck on an alien world and spends most of his time chatting up a lady cut into the odds. (Likewise if we were to take literally Kirk’s absurd characterization of the Enterprise as a woman, but… no). DS9 and TNG will run into problems with their volume of mixed-gender conversations, and for TNG especially the prevalence of significant female guest stars who male characters are likely to be discussing will cause some failures. Etc, etc.
To be clear, we know damn well that Star Trek has had problems with sexism, with instances both subtle and gross (Qpid and clay pots, anyone?). The Bechdel test also seems to be accepted as both a ludicrously low bar and an unreliable measure, but I have yet to see it put in appropriate context against the reverse test. What does it tell us if 98% of Trek episodes pass the reverse Bechdel? or if “only” 75% do? Does Voyager’s 86.9% standard score exceed or fall flat relative to their reverse Bechdel? Etc, etc. I would posit that the relationship between the Bechdel and reverse Bechdel should tell a pretty strong story about the level of subtle sexism in how the show is written, while an aggregation of the two scores is mostly just a measure of how (in)frequently the characters are chatting about their coworkers.