I like Afterthought heels, heel flaps and short row heels about the same. I do all 3 regularly. But when I'm in a hurry to get the sock done, and i'm short on time, i use the short row heel because for me it takes less time.
Quietheart- what you described is a heel flap. A short row heel is the entire heel done with short rows. and an afterthought heel is done after you do the rest of the sock, a good description HERE