Really amazing and worth reading information contributions of the last days!
Yes, I also think that classifying PawPAw fences can be very subjective. I find it difficult, even though I have been cultivating several Paw Paw varieties for 30 years, if I only see the fruit, especially if the size and shape of the fruit are untypical for the variety, and they also occur, to determine the variety, and in my opinion the state of ripeness has a very big influence on the fruit taste! The best fruits are still those that are fully ripe (and not provoked by a wind or storm) and fall from the tree.
For me, besides a strong aroma, the number of kernels, the fruit size and the ripening time are also a criterion. It would be nice, of course, if - as Francis_ said before - the PawPaws wouldn't grow so big, so that you could plant more in a smaller space. So not too large growing specimens would also be a desirable breeding goal - in addition to different ripening times to be able to extend the period of harvest - early ripening varieties would also be interesting in colder regions with shorter seasons.
Another possibility would be to grow PawPaws with more decorative flowers just because of their ornamental value, such as plum varieties that have stuffed or particularly pink flowers and little or no fruit formation. These are also planted here and there! Another variant would be to select PAwPAws with particularly decorative leaves, perhaps also variegata-Frmen or red-leafed forms.... Or maybe...such PawPaw selections already exists anywhere, and this is not or hardly known so far??