If you continue your research, it states in most cases there is a breeding male and female that didn't fight for their place in the pack. And that others when mature will leave to start their own packs. Also even in said pack there is a pecking order first to eat, showing dominance in play or eye contact. But in mixed family packs they do often fight for alpha position. Or in packs with multiple bedding females like in yellowstone there will be an alpha female. You are talking pieces of facts to make an example that is the problem with science you can prove any point armed with the correct info and neglecting others. Hence science is always changing never stable. Have you ever had any involvement with wolf packs. And almost every social mammal has a leader it's nessary for survival. To many chiefs is always a mistake. People look up the definition of dominance it has nothing to do with abuse, you can have power and control over something workout being abusive. Even in most families there is a leader stop trying to impose your opinions of how things should be with actual fact of how things ate
Why are you comparing dogs to wolves, is the real question here? That's where dominance theory has derived from, and my whole point is that they aren't wolves. We have domesticated them to the point that they no longer have many things in common behaviorally with their very ancient ancestors. What do you think would happen if you tried to alpha roll a wolf? It would kill you. And then eat parts of you. It certainly wouldn't respect you as being dominant to it. Your dogs allow that type of behavior because they aren't wolves.
You can be a leader without instilling violence or fear into a dog. I'm a leader - my dogs obey my commands and are well-behaved. They listen to me because they WANT to, because I'm fair, because I never hurt them, because I don't scare them, because I don't punish them when they do something wrong.
You are a bully. Your dogs listen to you because you use coercion and violence. They listen to you because they HAVE to, because you can be unfair, because you have hurt them, because you scare them, and because you punish them.
What type of relationship is healthier, both for the human and the dog? My dogs *willingly* give me their resources. They recall to me away from high distraction triggers. I can put a piece of steak in front of my dogs, tell them to sit, stay, and leave the room and come back five minutes later, and they'll be sitting and the steak will be on the floor. All without ever using a punishment. And this is *all* of the dogs I've owned, not just Danes.
You want to work with something tough - get a 7 month old Shepherd mix who has a bite history, resource guards to the point of extreme violence, and who put a child in the hospital needing reconstructive facial surgery. That was my last dog. He grew into a 115 lb dog - if you had tried to alpha roll him, he would have ripped you to pieces. And yet, miraculously, I took a case that no one else was willing to touch and he turned into a great dog. All because I understood that he wasn't being dominant, I never tried to intimidate him or scare him into behaving, and I trained with some of the methods I recommended to OP.
Iulicris88 is 100% correct in saying that your methods are dangerous. If the OP tried to alpha roll the CC he's dealing with, he'd likely end up in the hospital. Your advice is given with complete disregard to the safety of the people involved. The OP needs to avoid confronting the dog and to hire a professional trainer.