fwiw gb, i think it's just to do with terminology - i don't think your actual view is any different. i don't see 'person' or 'people' as a patriarchal term in a general context, not like 'mankind' or whatever, but i can see that other people do, because their context is slightly different.
i would say 'person' first (or human, but that leads us off down the humanist path), and and then specify gender second, in an ideal world. (about anyone, man or woman). but i can kind of see that might not work if you are used to dealing with 'people' usually referring to the male voice/ pov/ experience.
i fully accept my status as a woman, and have proved everything is in working order, (much to the shock of certain acquaintances who hadn't pegged me as mother earth) but would still prefer to be judged on an equal playing field without the distinctions of male/female being brought to the table generally. that said, in certain debates the fact of the distinction is the prime point, and the rationale for differentiation, so 'person' doesn't cut it.
but anyway, i think you're arguing the same point. but i've been wrong before. 
who is going to write to the dm and ask if wills has seen a fertility expert?