Clearly, this conjecture bears no resemblance to the facts, which can be easily documented. AIDS is spreading throughout Southeast Asia, exceeding the rate of advance that had been seen in Uganda at the height of the spread of the disease.
Teenage pregnancy is in fact the norm in many parts of rural China.
The difference is that the children in such pregnancies are already married, often against their will. Rape is a touchier subject. I have known of many cases of rape in Thailand, but it is defined, not as rape, but a contract between an impoverished family and a wealthy patron. The coersion is still there, but the victim is utterly silent. In Africa, the AIDS rate varies widely across the continent from one country to another.