TL;DR: telling men they can't compete in women's sports is on-par with stuffing people in cattle cars and shipping them off to be gassed. There are apparently human beings on this green Earth who think this is a sensible opinion to say out loud.
There's definitely a discussion to be had about the fact that the Holocaust is the only instance of genocide people actually learn about it schools, but it's not unreasonable that WWII is the first thing people think of when they hear "genocide" given the recency and sheer number of people affected. Nearly two millenia before the term even existed, the Etruscans and conintental Gaullic tribes were wiped out by the Roman Empire, which Hitler not-coincidentally modeled Nazi Germany after. There's even an argument to be made that genocide can be non-violent in the case of forced sterilizations, which would technically mean that trannies are genociding themselves by advocating for having state-sponsored procedures they know cause infertility.
The idea that denying HRT and surgery kills people is predicated entirely on the misconception that lack of access to those things causes suicide. It doesn't. GRS does not appreciably reduce a patient's likelihood of suicide, and while HRT reduces some symptoms of depression, there's no hard data on its relationship to suicide attempts. What literally any paper on tranny psychology, even ones authored by TRAs, will tell you is that "gender dysphoria" has an absurdly high comorbidity with damn near everything on the books. Autism, personality disorders, depression, schizophrenia, eating disorders-- they're all way more common among troons that the general population. These people aren't killing themselves because they're in ~le wrong body~, they're doing it because they have tons of other mental problems that aren't being treated because the focus is entirely on dealing with muh gender dysphoria. Gender bullshit is basically being used as a cure-all for all other under-treated mental illnesses and psychiatric conditions, which is why many people (myself included) compare the current transgender fad with the lobotomy craze.