For what is worth, i can attest that those anecdotes are true. Here some italian people who grow "sunflower" pawpaw report fruits even if they don't have a second plant. Now, (1) since we don't have wild annonas of any kind, (2) pawpaw is almost unknown in cultivation (being introduced in italy only in 1983), and (3) different growers can even be several miles apart, i don't see any other way for those anecdotes to be true than sunflower being self-pollinating. Still those are nothing more than anecdotes, so is better to avoid excessive trust.
Another self pollinating variety is Prima 1216, developed here, but with all those great cultivars avaiable there i guess you won't feel the need for some other cultivars.
I planted 2 trees, last winter, a Sunflower and a Prima 1216, pretty close each other. Both self-pollinating, to minimize the risk of no fruit set. Since i lack of wild trees and natural pollinators i preferred to stay on the safe side. Apparently we lack of pollinators here, so some people use as workaround (yes, pretty disgusting, i know) some rotting meat/fish just close to the tree. Flies are supposed to do the work for them. Well a guess this works if you have the trees planted far from the house. Some other poeple plant them close to the compost pile, and this is more acceptable and it should also work.