I consider this an incoherent claim. "A neuter pronoun", inherently, is one that can be applied to individuals regardless of gender (actual or grammatical). That's what people want when they wish English had a neuter pronoun. 'He/him/his' is not such a pronoun. "They/them/their" is.
Nope. "Of all the men and women here, one will prove his worth" is grammatical and does not imply a man IMO. I'm not defining myself right of course, just clarifying why my contrarian claim is coherent.
As per a recent comment this thread is meant to voice contrarian opinions, that is anything this community tends not to agree with. Thus I ask you to post your contrarian views and upvote anything you do not agree with based on personal beliefs. Spam and trolling still needs to be downvoted.