20 years ago, using they in this way would have really tweaked my ears, but I find myself using it in this way and hearing it in this way more and more, and I think it won't be long before we've forgotten how odd it used to feel.
It still sounds odd to my ears, but that's because I usually hear "they" as a plural pronoun. For example, I was watching a TV show with two siblings, one used "they/them" pronouns. When the mother said "I'm really proud of them and everything they have accomplished", I didn't know if that was referring to one sibling or both.
I know it will probably feel less odd as time goes on.
