I am sure many of you are all familiar with the "Big Five" model of personality; Jordan Peterson never seems to shut up about it. Here is the question: If you gave this test to transexuals, both MtoF and FtoM, would the personality traits cluster around male or female types? And if you break out autogynephiles from homosexual transexuals, what would happen?
My guess in the MtoF set, autogynephiles will show the exact same personality pattern as heterosexual men and homosexual transexuals will show something between typical homosexuals and biological women. While the current environment would make doing this research now very difficult, it seems like something that a psychology department would have salivated over in less politicized times.
By the way, if the AGP term is unfamiliar, I suggest you read up on it because it is a significant complication regarding the debate about transexuals and women's restrooms. Suffice it to say, the majority of transexuals in the US are not really "women trapped in men's bodies" though there is a subsample about whom one could argue that is the case. There is a set that are men who enjoy thinking of themselves as possessing a female body---basically are aroused by the fantasy of occupying a female body at will. This is part of the reason so many transexuals are still attracted to women upon transition; it is not because they were actually lesbians trapped in a man's body. The majority of MtoF transexuals are attracted to women and the numbers do not breakdown the way homosexuality does in the so-called cis-genered population. Of course, the AGP categorization is the only explanation I have ever seen presented for this skew.