"Question is it better for a third world mother with AIDS to breast feed of formula feed?"
Lowest risk of all is ff - but ONLY if it's exclusive and the mother has a guaranteed supply and clean water/fuel to make it with.
Obviously this isn't the case for many poverty stricken families in developing countries.
In which case they now advise 6 months exclusive breastfeeding, then switching to solids/formula.
"why do you have to starve babies who struggle to latch?"
Well - you don't have to!
You can be helped to express and to top a baby up with expressed breastmilk until the baby learns to latch on. (though not all women find expressing easy)
Or as you've done, you can top up with formula until breastfeeding is going better. (though for some women this causes problems with supply and leads to an early cessation of breastfeeding).
AlpinePony - I'm really into bonny, chubby babies too, which is why I liked breastfeeding, as breastfed babies tend to put on MORE WEIGHT and put it on FASTER in the first six months of life than ff babies.
Of course there may be difficulties in the first few weeks that might lead to a bf baby not getting as much milk as it needs. But formula doesn't usually need to be the answer to that problem.