I would still have to say that the dog functions more as part of the human team, which is far different then the pack. In a pack, there is no position of equality, and every animal is constantly looking to take a higher position. So, for example, if you have an alpha wolf who sustains an injury, that alpha is going to get knocked down in status by one of the younger, healthier wolves. If the alpha's injury isn't that bad, and he can still sustain his position, he and the other wolves may eject a young challanger out of the pack, which could essentially be a death sentence for that wolf. There is no compassion in that social order.
On the other hand, do you think that your dog is going to try to bite you and take your food if he senses weakness in you? I would hope not. Domestic dogs have learned that for their survival, pleasing the owner is the best thing for it. This is far different then a pack mentality, and is more related to the human team.
Yet, your dog has instincts like any animal, and if forced in that environment its "pack instincts" will take over, as I mentioned previously. So, one has to ask oneself how one wants to raise the dog; does one want to propigate a pack mentality based off negative reinforcement ("No!" or and yank the pinch collar for example) where one must constantly show dominance as the "alpha dog"? Then what happends if you show that sign of weakness, or if a weaker human is introduced into the home, like a child? What happends if the dog try's to vigh for that higher position? I can already see the news article where the owner says, "I don't know why my dog mauled my 5 year old niece, it never showed that kind of aggression before, then it just "turned."
I would rather include my dog as a part of my human team where my dog understands that pleasing me is far better then anything else out there. It doesn't matter if there are kids or other people around, other dogs, or if I am sick or injured. He knows that he will get the best reward for pleasing me, period. That is tapping into his domesticated instincts rather then his "animal" ones.
But, I do understand your point of view, and I realize that my viewpoint, although well supported, is a minority viewpoint. So, I am not faulting anyone for doing something different then me, I am just explaining my point of view.
Remember, there seems to be more methods out there are martial arts!
Paul