Yeah, I don't like -person as a gender-neutral (and this from a non-binary human!) - I say Chair, not Chairperson, for instance. Chairperson just sounds made-up and lip-service-y. Serviceperson is ok as invented terms go, but we already *have* soldier as an organic, gender- and service-neutral term...
I gather it's not neutral to people *in* the services but I'm not, so I'm ok with that.

I'm a pain. I want to be referred to in the 3rd person as They, which isn't going over well either...