Your assurances don't mean much compared to usage going back to at least 1382: https://en.wikipedia.org/wiki/Singular_they
https://public.oed.com/blog/a-brief-history-of-singular-they...
Language evolves, and this means that the rules of grammar do too. The MLA already allows for pronoun usage to match that of the preferred pronoun of whomever you are writing about, and are considering allowing for the singular they in general. Some style guidelines already allow it. Others still proscribe it.
Plenty of news organizations, including the Washington Post, have set their style guidelines to use the singular they.
It's grammatically correct in plenty of places today, and the current trend is for that to increase, not decrease. You're fighting a losing battle here.
Let me rephrase that reply: Everyone is entitled to his own opinion.
Everyone takes the singular, but in that reply, I paired it with the plural their.