Surely you can appreciate that the phrase "trans puberty" should be taken to refer to the process described in those guidelines, whatever label you prefer to put on it.
What I can appreciate is that "trans puberty" connotes a legitimate medical intervention to initiate a transition from one sex to the other in accordance with trans ideology.
It's a term that serves to reassure captured individuals that trans ideology takes a rational and science-based approach to actually transitioning people from the "wrong" sex they were born with, to the "right" sex they think they should be, by means of an an alternative route through pubescence.
The actual, scientific, medically-sound truth is that there is no such thing as a "trans puberty". There is only a sociopathically-motivated derangement of the natural and healthy pubertal development process, that irrevocably damages the victim both physically and psychologically, with no proven commensurate benefit.
Calling it "trans puberty" rather than "deranged puberty" legitimizes trans ideology in the public sphere, rather than repudiating it.
Yes, of course "trans puberty" refers to the process described in those guidelines. It refers to the process using gaslighting terminology that seeks to completely obfuscate what is actually going on in this process. "Trans puberty?" You think, reading the abstract. "Well that's the transphobes told, then. I ◊◊◊◊◊◊◊ love science."