While I'm still in the process of figuring out if I might be nonbinary, I'll mostly answer your post as a way for me to dwell deeper into my own mind, using your questions as a guide. But whatever answers I'll come up with might still be of interest for you and/or others reading this.
As I see it, I'd say I'm pretty much an opposite of "neither" or no gender. I feel strongly that I'm in the "both" category. I did read up a bit about "androgyne" which seems to be strikingly accurate, while other terms come close but don't quite click with me. I've not yet settled for any particular label though, but that's where I'm nosing around.
I lived as a (trans) man for 9 years until I realised that was not right for me, so I began to detransition, but to live as a 100% cis woman does not sit right with me either. I regret top surgery so I'm dysphoric about my chest, but other than that... I actually feel really connected to both the female and male traits of my body as it is now.
I've long struggled to separate what is gender dysphoria and body dysmorphia of what I've experienced, but the less of the latter I have (it's healing away), the more I understand my true connection to my body and what I really want with it. Because I've already transitioned, but went too far towards male for my comfort, I now need to be careful I don't "back-track" too far towards female again. And as finding that balance may not be entirely easy, I'd rather do too little now than too much again.
How much of each gender I feel that I am in percentages is very hard to tell, cause it depends on the aspect. But if I'd combine all aspects together and calculate out an average, perhaps I'm quite 50-50, or leaning slightly female.
I don't switch between feeling either male or female, and I don't think I have two genders; but rather I feel both at the same time as though they're the same, constant, androgynous gender. I'd say I'm a highly gendered person, but of a quite evenly blended mix. Although I think I only have one gender, it's extra everything.
I don't know if I'd be dysphoric if I could look entirely male or entirely female again, but I get very strong negative feelings towards the thought of removing any sexed trait from my body, and often positive feelings towards adding any sexed trait to my body. I'm not quite sure what to make of that, but maybe I just feel a strong connection to having lots of different sexed traits from both sexes because I feel so highly gendered. I think my gender in and of itself, is pretty stagnant, and not fluid, but shows itself in different ways sometimes.
Currently I'm presenting more female than I'd like, mostly due to my family not being entirely supportive of my detransing. They constantly judge my style negatively, tell me I don't hide my stubble well enough, and hint at that I "failed as a guy and now fail as a girl"... so that's very yikes. That's a bull I'm gonna need to grab by the horns eventually, but I'm procrastinating.
And I also fear facing transphobia in public, but not as much. Being read as a feminine man is so much scarier than being read as a masculine woman ever was for me in the past. That is a very new situation for me to suddenly be in as an afab person, and I've not yet figured out how to handle it properly.
I wish to present more distinctly both male and female, with like a beard to go with my deep voice and feminine style, while also still wearing my (currently) detachable D-cups. But apart from my presentation, I almost have my ideal body already. Only thing I know for sure I need to fix, for the sake of my mental well-being, is to get breast reconstruction surgery, and stay off testosterone. I'm alright with pretty much all the permanent changes I got from the testo, but I dislike some of the non-permanent ones, and I don't wanna get more back hair... so that's why I'm gladly going off it. Enough is enough, kinda.
I'd like a constant, androgynous presentation rather than to switch between presenting male and female. And now my body also allows for me to do so without much effort. It actually would require less effort than presenting as either female or male. I like both being referred to as he/him and she/her, but I don't like being referred to by gender neutral pronouns. I never correct people though, and when asked so far in my detransing I usually just say it doesn't matter and let people pick whichever one they want.
As for my attraction to others, I'm very bisexual (equal attraction to both sexes) with no distinct type for either or any gender, as far as I can tell. Although I do have a preference for alternative fashion styles, and I'm very picky about a partner's personality and how compatible we are.