Interesting reading Imnobody4, thanks for sharing.
It's a shame that the study doesn't refer to sex differences in these behaviours, just refers to 'trans people'.
I'd be happy to be proved wrong in my expectation that doing so may shed some additional light on what's going on. But why won't researchers separate out the two sexes in this research? 
I expect many people on this site (aka women with lived experience of navigating puberty) would read that summary and understand exactly what it's likely to be demonstrating :-
Young transgender people may restrict their food as a way to control their puberty, stop their periods or reduce the development of breasts. Erm, so, mostly female puberty development?
the research suggested that for some transgender people, striving to achieve a masculine or feminine body shape can influence their eating behaviours, while in the case of transgender males (assigned female at birth but who identify as male) who are not on hormone treatment some may even restrict what they eat as a way of stopping menstruation. Erm, so again, mostly female puberty development? Nothing there about stopping male puberty markers.
So the research shows that using drugs to halt the natural puberty development of these trans 'people' (aka mainly girls then?) made them feel better because their bodies stopped developing in the ways they were fearing.
Just like anorexia behaviours can halt development in ways that can make girls feel 'better' and more in control too?
Oh, but maybe it's specific to the trans population: -
Within the non-trans population, negative emotions such as anxiety and depression and low self-esteem fuel the relationship between body dissatisfaction and problems with eating behaviours.
Or maybe some of the girls in the study have found 'trans' as an articulation for their body dissatisfaction, which suddenly elevates them out of just being standard 'non-trans body dissatisfaction' issues?
How is it possible not to make this obvious connection? Unless you're on determined track to separate these connections?