I think they take a different approach though, where women are guarded by the family from being in situations where males, who are known and accepted to be violently sexually aggressive, might harm them. Then women who end up in such situations anyway are considered fair game, more or less.
I imagine, though, that while the numbers for various rape types are probably relatively high compared to other countries, those crimes still affect a tiny minority of women and wouldn’t move the broader needle on HIV rates. I would guess that date rape is also extremely lower than in the west due to courtship practices being very different (which would work against high HIV rates).