This is the study that controlled for sexual orientation www.nature.com/articles/s41598-017-17352-8
the following is a copy of where I 'translated the abstract into English' in response to a request from Datun on a previous thread
Both transgenderism and homosexuality are facets of human biology, believed to derive from different sexual differentiation of the brain. The two phenomena are, however, fundamentally unalike, despite an increased prevalence of homosexuality among transgender populations. Transgenderism is associated with strong feelings of incongruence between one’s physical sex and experienced gender, not reported in homosexual persons.
I think this is self-explanatory?
The present study searches to find neural correlates for the respective conditions, using fractional anisotropy (FA) as a measure of white matter connections that has consistently shown sex differences.
Translation: In this study, we looked for differences in the nerve cells of the brain using the measurement of fractional anisotropy – which is a brain imaging technique that measures properties of nerve cells (e.g., their shape and density in a particular region of the brain, among other things) – which has been shown in several studies to detect sex differences between brains.
We compared FA in 40 transgender men (female birth-assigned sex) and 27 transgender women (male birth-assigned sex), with both homosexual (29 male, 30 female) and heterosexual (40 male, 40 female) cisgender controls.
Self-explanatory?
Previously reported sex differences in FA were reproduced in cis-heterosexual groups, but were not found among the cis-homosexual groups.
Translation: the previously reported sex differences in brain cells were observed in heterosexuals but not in homosexuals.
After controlling for sexual orientation, the transgender groups showed sex-typical FA-values. The only exception was the right inferior fronto-occipital tract, connecting parietal and frontal brain areas that mediate own body perception.
Translation: If you control for differences in sexuality, the nerve cells in the brains from transgender people were typical of those for their own birth sex, except in a specific area of the brain, ‘the right inferior fronto-occipital tract’, which is known to be associated with how people perceive their own body.
Our findings suggest that the neuroanatomical signature of transgenderism is related to brain areas processing the perception of self and body ownership, whereas homosexuality seems to be associated with less cerebral sexual differentiation.
Translation: the authors of the study conclude that transgenderism (I would say gender dysphoria, because all transgender participants were diagnosed with gender dysphoria) is associated with differences in a brain area associated with perception of your own body, whereas homosexuality is associated with less distinct differences in the nerve cell properties measured between men and women, compared with heterosexuals.