Researchers have tried this on transgender brains and come up with mostly noise. When they do find differences, it appears that the brains of trans-women are unlike cis-women. Ditto for trans-men.[2]
I am very confident that there is a ton of publication bias in any transgender research. If you publish a politically incorrect result, you risk your career.
1. https://www.ncbi.nlm.nih.gov/pubmed/30430711
2. https://www.researchgate.net/publication/337026445_Predictiv...
You seem to be implying that making the statement not work for other dysphorias would be desirable; what caused you to reach that conclusion?
On one hand, viewed through the lens of cold logic, it's no different from reassignment surgery and therefore their desire to modify their bodies is valid. On the other, it's difficult to honestly say that they would not be severely harming themselves by doing so.
But the same argument could equally be applied to a group with a dysphoria that everybody loves to mock: furries. How would you make your statement work for a specific dysphoria and not every other dysphorias?
(Maybe it should work for every dysphoria? I'd be okay with that since it's a logically consistent viewpoint at least.)