Identification with archetypes, symbols in our consciousness since primordial times. Anima/Animus. I like Jungian interpretations for the aspects of being which we can't always explain in rational terms. Essentially a trans person could be said to experience life through the unconscious in Jungian terms. I never thought about it that way until just now.
edit: someone identifyng as non-gender, in the external materially world, I think has an identity crisis. a type of limbo, as I dont think that can be a state to not lean more one way than the other.
I just became familiar some of Jung's work yesterday and find it intriguing, I was going to write about him here in a few days after studying some more.
Yes, you are right. There are people who use symbols of neutrality to indicate that they are having trouble seeing themselves in humanity. For example, I have never met anyone who identifies as asexual agender and wasn't repulsed by genitals in some way. But still, even if some or all of us are sick and there's nothing else to it, speaking about these interpretations is very important to identify what exactly is going on.