Vitamin mineral supplements are very cheap compared to usual HIV therapy, and they seem virtually risk free. In any case, this debate is now out of fashion in rich countries, since tri-therapy completely changed the whole picture. I do believe though that the issue remains relevant in developing countries with no access to modern treatment. Zn seems to have unfavourable effects. Effects of micronutrient intake on survival in human immunodeficiency virus type 1 infection.
Selenium deficiency seems quite common in the tropics.
Vitamin of the B group are usually cheap, even by developing country standards. There is apparently no risk of supplementation with moderate doses. A controlled study takes several years. In terms of Treatment of severe malnutrition associated with AIDS I offer two observations. As there was nothing specific to offer these children and there were social issues involved etc.