The notion of the "gay problem" does not come from nowhere though. Gays have extremely promiscuous lifestyles with 3.5 as many lifetime sex partners, resulting in a 60x higher rate of HIV infections[1], accounting for 67% of HIV diagnoses despite making up 2% of the population or so.[2] So gays are clearly massively responsible for the spreading of the virus and they could reduce its prevalence by engaging less in anonymous sex.
[1] https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3462414/
[2] https://www.cdc.gov/nchhstp/newsroom/2012/hivincidencegraphi...