Man is one of the oldest, most primal words in our language going back thousands or tens of thousands of years, to and beyond the Sumerians - the first civilisation and one of the words they marked for us. It was always gender neutral and always meant any human being. We see evidence of that in 'mankind' which is not half the population. There is a fallacy its compatriot term is woman. It is not.
Woman and
werman are compatriot terms, medieval English, literally wife-man and husband-man - and the archaicisation of werman a sad loss to English poetry. A woman doesn't stop being a man because there is a "wo-" at the start any more than a fireman stops being man because it also has a prefix.
Person goes to the Greek
Persephone, which immediately genders it.
So if you expect me to be a person I expect you to be a man.