That's what they say, but, it is of course, untrue.
If a theist wants to use this argument to prove which class of people god loves the most, then god loves lesbian women the most, as they have the lowest incidence of HIV.
Unprotected sex can spread HIV. Therefore anyone who has unprotected sex has the potential to contract (and then spread) HIV. I think that the reason the rumor about gays spreading it more has to do with the fact that anal sex may make it easier to contract that vaginal sex; however, many straight people engage in anal sex and many gay people do not.