Someone correct me if I'm wrong here.. but I think clarification on prepotency is in order.
I see it as an animal that has a large number of homozygous genes, which leads to consistency.. especially on the dominant genes.
When using a prepotent bull from one herd on prepotent cows from another, I guess it comes down to which genes are dominant.. No amount of prepotency in a red bull is going to give you a red calf from a homozygous black cow. Of course everything isn't simply black and white (er, red), there are many factors that work together for some traits.. Weaning weight for one would be a plethora of genes.. from mothers milking ability, frame size, growth rate, feed efficiency, birthweight, muscling, etc
Going back to the theoretical (red) bull of Cotton's and my herd.. there are two scenarios to consider.
The first would be that we both have selected for the same traits for decades, despite starting off with unrelated animals.. We started off by importing the genetics we liked until we got what we wanted, then started to close the herd to outside influence.. Over time, it would follow that despite being unrelated herd, they would have a convergence in genotype, and at least in theory there would be little heterosis in the product offspring.
The second option is we both started with the same seedstock, thus the herds are very closely related, but we had wildly different ideas of what we wanted.. I selected for dairy traits and Cotton selected for beef traits... My cows are trending toward larger frames, large udders with small teats for machine milking.. Hoof quality was of little importance because they got monthly trimming anyhow, same goes for calving ease.. there's always someone around to help, and losing a calf isn't a big deal, it's the milk I'm after..
Meanwhile Cotton selects for a Frame 5, stout, modest udders and milk, easy fleshing, calving, etc. Our herds could be very related but wildly different.. Calves that are a result of the crossing of the two herds ought to have higher heterosis than the first example!
As always.. I've got more questions than answers!
Ranchman, The goals may be different with sheep and cattle (and pigeons), but the roadmap to achieving them is very similar