I suspect that, in addition to opposing condoms, the Catholic Church endorses abstinence outside of marriage and monogamous relations within marriage. I also may be wrong here, but I don't think they have any objection to HIV medication/treatment, education about how it is spread, compassion towards the infected, etc, etc.

If this were just a policy of "keep screwing everything in sight and don't use protection" then that would be one thing. Their no-condom stance is one part of a significant lifestyle change that they advocate. I don't think there is any argument about how effective that lifestyle change would be IF achieved. But, that "IF" on the other hand...