Well exactly - you don't care and you just write 'their'. You're the one suggesting that we should go out of our way to do detective work to find some evidence of whether someone looks like a man or a woman. It's easier to just say 'their'.

Also, I've seen several comments here of someone making what I presume are honest mistakes in using the wrong pronoun and being publicly shamed for it.

I don't know if it's necessarily easier to read, you are introducing a lot of ambiguity. When you say "Julia's writing on their blog," it sounds like she's writing on a blog that belongs to other people.

> it sounds like she's writing on a blog that belongs to other people

It doesn't to me. Maybe it varies by region.

How do you judge if it is a boy or a girl?

For example, what would you refer to me as? "Nadya wrote on her blog" or "Nadya wrote on his blog"? (hint: You'd need to dig rather deep into my post history to find the "proper" one.)

@ruraljuror's example

Further context removes that ambiguity. Although you could rephrase it as "Julia wrote on their own blog" or even remove the pronoun altogether: "Julia wrote on Julia's blog" (which is only ambiguous if there is another Julia).

In that case I like ‘their own’ best, but when it can be inferred from the name then there's no reason to complicate things. If someone's special enough to use their own pronouns then they can ask for it to be corrected.

And Nadya is hard—I would go for gender neutral on that one. :-) (It's not that I dislike singular ‘they’, but sometimes it can make sentences awkward.)