I mean, in the case of gender dysphoria, "shut up and just nod your head at what ever they say" works pretty well for almost everything. I can think of two obvious exceptions, though. One is that men probably shouldn't be able to grant themselves access to spaces reserved for women. The other is that medical staff need to know exactly what they're dealing with.
I agree with your overall point, but that first point is one of the core arguments of the current... movement. Access to spaces meant for the gender they "assign" themselves to is a major, if not the major, talking point for transgenders right now. An "Okay everything except that..." solution can't really work.
The second point, medical attention, is so obvious true I don't really understand how anyone can argue against although some obviously do.
House: "There's a tumor on your testicle."
Patient: "But I'm a girl!"
House: "Well the X-ray says otherwise."
Patient: "Lookit me! I'm a girl! How can you say I'm not a girl!"
Patient's Father: "What are you saying she has cancer?"
House: "No.
He has cancer. On his left testicle."
*Beat as both the patient and father adsorb this new information"
House: (While walking out of the room) "We'll cut your balls off, you'll be fine."
*Later when it comes out that the father had been abusing the girl."
Father: "Is this some kind of sick joke?"
House: "No, a joke would be if I called you a homo."