My hunch - and hope - is that yes with the right kind of mental health care, a great many people who now identify as trans would learn to better accept their bodies, appearance and the realities of their sex; would develop far healthier, more robust and resilient self-concepts & much improved self-esteem both in amount & durability; would come to understand where their ideas about, and preoccupation with, restrictive sex stereotypes came from; and would be supported to live in as nonconforming a way as they desire and to realize that in vast numbers of communities in countries like the US and UK they can live happy lives with full social acceptance coz huge swathes of the population got used to men wearing makeup & "women's clothes" and to women with very short hair in trousers who look "butch" many decades ago.

Clearly, therapy for someone (male or female) who is same-sex attracted, developed gender dysphoria in childhood & embraced a trans identity as a result of growing up in a homophobic, conservative home and milieu would be different to the therapy required by a heterosexual adolescent or adult male who has adopted an opposite sex identity coz of the sexual fetish known as AGP that he's been reinforcing on the daily by immersion in sissy porn.

My sense is that most FTMs today as in past decades are motivated by the desire/need to escape from being further sexualized and further sexually objectified, by a whole bunch of internalized misogyny, as well as coz they have a host of other mental health issues they're seeking a surefire and easy fix for.

IMO, anyone who sees a therapist - especially those with "gender" issues - would be best served by one who is well versed in the very different ways that males and females are socialized as well as in human biological sex. And who is well-versed in the various psychoanalytic schools as well as in practical therapies like CBT. And of course, the therapist needs to be a kind, compassionate person who is able to see each client/patient as an individual and not bring their own issues & ideologies into the therapeutic relationship. Unfortunately, all the "gender therapists" I've read about do the opposite.