I can't answer your question but have wondered the same thing. IE do the fish crap where they eat and leave more fish poop/nutrients in that spot? Or are the nutrients more soluble and move around? I don't know. Maybe some of the fish experts can chime in.
I know it is recommended to feed in deeper water. Maybe this is a reason for this recommendation???
I feed all around my pond (not necessarily a good idea, just what I do). I try to throw the larger pellets (AM500 and AM600) out in deep water and only throw the very small pellets (AM400) in near shore where the 2-3" BG hang out. The bulk of the BG prefer to eat in 2-3' of water. That is where they come to and race towards me when they hear the sound of the 4 wheeler coming with the feed. But I throw most of it out deeper to force them out there to eat.
If you could get your wife and child interested in feeding the fish, they might become addicted to it and do it regularly. I know it is enjoyable to me. Some people have dogs, some people have cats, I have fish. The nice thing about having pond fish as pets, I don't have to find a kennel to keep them when we travel for extended periods.