I can't really disagree with you; although when I say something like "If your child needs a tutor, I can help them" out loud, I usually abbreviate "them" to " 'em", which, in my dialect, sounds exactly the same as if I had done the same to "him". I mostly do this because that's how everyone I grew up around says it, but as a bonus, it's about as gender- and plurality-neutral as anything, and doesn't sound weird at all, unlike hir/xe/whatever.https://en.wikipedia.org/wiki/Singular_they
https://motivatedgrammar.wordpress....ar-they-and-the-many-reasons-why-its-correct/
http://www.oxforddictionaries.com/words/he-or-she-versus-they
http://grammarist.com/usage/they/
In point of fact? That WAS the way "they", "them", "their", et cetera were used in the past, we're just reviving old usage in the face of a new problem.
You can honestly tell me "If your child needs a tutor, I can help them" is worse than "If your child needs a tutor, I can help hir"?
...
I still want to STAB people trying to invent new "hip" words for this kind of stuff. Xe/Hir/Ze/E? Need to go die in a fire. We STILL use plurals in many places as singulars, the usage just needs to ramp up. Even "the most famous authors" use they/them/their like that. Sure they use "his" or "her" more often, but generally as a differentiation tactic.
As has been stated in this thread, both the masculine and plural pronouns have a long history of being used to refer to a singular person of indeterminate gender. Using a not-technically-a-pronoun that could just as easily be either one works well enough for me.