Re: *HIS* point
Would you have objected to "her" point instead? I suspect not.
"Their" is typically for plural use. "its" would be singlular but is considered rude. There is no genderless singular equivalent that's considered polite.
"His" is taken in this context to be singular and genderless, as would be "her's". The two are interchangeable and in no way sexist unless you're on dubious feigned moral high-ground trying to pick a fight.
Biting the hand that feeds IT
