I always quite liked the French Revolution title of Citizen, but obviously French is so gendered the women were called the equivalent of Citizeness. I don't really see the point of sex specific titles, but I think I'm coming at it from a completely different angle to TFL.
My feeling is that it doesn't matter what sex you are, so why do we need it in our titles, whereas I think this announcement change is more about there aren't just men and women, so we need something to include the ones that don't fit into those categories.
I've never been that bothered about ladies and gentlemen - I do get the point about ladylike behaviour, but I've also heard people unconsciously use gentleman about some men but not others - basically use gentleman as standard, but refer to young working class men only as 'men'.
It's a bit old fashioned, but it's only really used to address a large group, formally, so I think it adds to the formality.
Maybe they should add 'my lords' back in!