On a serious note i don't think so. Why do i say so? I don't believe there is a normal person out there that likes to be confined in a hospital because he or she is sick. Even with the availability of drugs for so many diseases nowadays, how many people will deliberately engage in activities that will predispose them to picking up diseases? None.
From a personal level, being sick is a terrible thing and i hate it. So even if there was a cure out there for AIDS, I will not go about messing up just to be cured later. Not for someone that knows what it is to be sick and the feelings and restrictions it brings. So i don't think a treatment for AIDS will encourage arbitrary sex, i mean safe measures of preventing cross transmission are already available and people use them daily so on a higher note, it is these safe measures that have will and have increased arbitrary sex for me.