It's definitely dodgy because when people hear it's being transmitted primarily in the gay community, they think that it's only gay folks who need to be aware, but you also want to give people all of the information needed to protect themselves. It also may create unwarranted hate/stigma where people call it a gay disease or blame gay people, sort of like when bigots called Covid the "China flu."
When over 95% of people who are getting a disease are gay, then it is a gay disease. While "everyone can get this" may be technically correct (yes, the best kind of correct), that cushions and lessens the message for the one group that needs to hear it the most: gay men who have promiscuous sex with multiple other men. That group should be the focus of messaging, and the messaging should be very clear and explicit that: (1) this disease is being spread by sex; and (2) for crying out loud, if you are someone inclined to have sex with other men, please help us stop the spread of this disease by not putting strange peens in your mouth/butt (or putting your peen into strange mouths/butts) for the next couple months, or at least until you've received a monkeypox vaccination. But that sort of direct messaging is mostly not taking place precisely because health officials are worked about "stigma" bulls**t.