You are exactly right on technical use of "neuter." Fixed, and thank you.
What is a nonbinary person in the sense you are using it, apart from a subset of non-women? I can't get use from context. Just for curiosity, and probably off topic so pm if exactly one person cares.
If I thought everybody agreed it wouldn't be contrarian now would it?
Nonbinary people consider themselves neither male nor female, both male and female, male and female individually but at different times, or any other vector combination of genders besides {1,0} and {0,1}; naturally, they are all transgender. They're fairly uncommon, largely because the idea that identifying as nonbinary is not available to the vast majority of people and would be stigmatized if they did choose to adopt it.
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.