The deletion of some genetic material from a chromosome can lead to a human disease called Williams Syndrome. These people are very social leading one researcher to study dogs. At least 15,000 years ago dogs were domesticated although this is a very simple statement. It appears there are some deletions of genes from dogs compared to wolves possibly leading to some behavioral changes comparable to Williams Syndrome mostly being very friendly. I find the theory to be interesting but hardly predictive of what might have happened with dogs becoming a subspecies of wolf and domesticated. It's an interesting read for those who have some time invested in how some wolves became dogs. https://www.livescience.com/59866-rare-human-syndrome-may-explain-why-dogs-are-so-friendly.html
I'd guess the answer to your question is that if animals get used to being fed by human beings - especially during the meaner times of winter - they'll soon evolve into being friendly towards the hand that feeds them? It has bugger all to do with genes I wouldn't have thought. Always consider the simplest explanation first is my way of thinking.
Wolves raised around humans generally interact differently in multiple ways as opposed to or different than dogs. They are in general less social and dont follow comnands esp hand signals like dogs. So while you may select those friendlier wolves over time in the end they are a distinct species and behaviors. There are anatomical, behavioral and genetic differences between dogs and wolves. In the end, and there is now evidence for it, we may go back to naming dogs Canis familiaris instead of Canis lupus familiaris.