I like a quiz programme, as I'm sure you know, more or less regardless of what the theme is. So I listen to Counterpoint despite never being able to answer any questions. In a recent one, there was an example of gender-neutral they, still relatively unusual on a mainstream media source like the BBC. The question began like this:
Which cellist made their debut...
Of course, they is intended to obscure the gender of the cellist so as not to give us any clues. But then it interacted with centuries of gender inequality (meaning that classical composers and musicians are nearly all men) and the Gricean pragmatic principles that say you should be appropriately specific, and resulted in me getting an answer right for once, because it implied that the cellist was not a man, and I know precisely one not-male cellist, Jacqueline du Pré, and she was the right answer.
Why did it imply it wasn't a man? Well, if the gender would have been a clue, then that more or less tells us that the gender was not male, because maleness doesn't narrow the field much. If you google 'famous cellists', the pictures are all men apart from du Pré. Even this article from Classic FM, where they probably tried to include a couple of women, has 13 men and 3 women. So the gender being a giveaway meant it had to be a distinctive feature of the person, so it had to be not male.
Here is a really interesting article by Kirby Conrod on how this same principle works to sometimes implicitly misgender people, if you use they inconsistently or when you could or should have been more specific. And here is an old post about the contrast that becomes implied when Mrs and Ms are the only two options to choose from on a drop-down menu, because Mrs ought to be a subset of Ms, but has to be interpreted as distinctive if they're the two available options.