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.
I found sometimes, that it is of great help in handling such a case, to encourage them, to express their peculiar contents either in the form of writing or of drawing and painting. There are so many incomprehensible intuitions in such cases, phantasy fragments that rise from the unconscious, for which there is almost no suitable language. I let my patients find their own symbolic expressions, their “mythology.”
― C.G. Jung, The Red Book