Dogs' social wiring isn't as ordered as wolves. I can't exactly speak for dogs generally, as my boy is more wolf than dog, but he was raised with great care by my brother and grandmother, along with myself though I was still a child at the time. Wolves naturally order themselves by seniority/parental supremacy, so the way he acts around my brother is different than around me. Sex probably did make him a lot more attached to me though, so he usually goes wherever I go, and it took a lot of training and experimentation to make him handle my absence without issue, or be able to go hunting with my brother.
There aren't really any fights for any "alpha position", at best there are miscommunications, where he doesn't understand what is going on, or I simply can't convey it to him, for example, I can't go into stores while walking him, because he won't remain outside and any leash will give up before he gives up on following me, but he doesn't have that issue with my brother when they are together.
I don't know if any dogs are similar in that regard though, as most dogs seem a lot more unruly and playfully care-free in my experience. Dogs aren't as smart, but I can't imagine them being completely rewired from their wild origins.