Pinker is 68; it was extremely uncommon to use "they" for most of his life. I can completely understand it just sounds "wrong" to him, because it really is quite a radical shift to how the word was used (none of this "it's been in use since the 14th century" bollocks please; it fell out of use since well before Pinker was born – you would be unable to even understand English as spoken in the 14th century because it's a different language – it's a bad faith bullshit argument)
I've been using 'they' as a generic pronoun since before it was cool, but I'm also not a native English speaker and a lot younger. In my native Dutch there isn't really a good equivalent of a gender-neutral 'they', but people have tried to introduce it in recent years and it all just sounds spectacularly wrong to me, because I guess my brain is hard-wired to consider these things wrong.
Changing language takes time.