There is a lot that we don't know, maybe we bred them for food! Back 30,000 years ago there were very few humans around so most animals would have had no reason to fear us and may well have wanted to be friends just as is still the case on a few remote islands that have never been inhabited by humans. Also the wild dogs may have been quite different to todays wolves, maybe quarter the size and no threat to human children, maybe they were even more pack hunters than todays wolves and naturally worked well with human hunters just as some animals do today:
https://www.sciencealert.com/scient...-african-tribespeople-to-help-them-find-honey . Dogs do like to go for walks with humans and back then humans went walking to hunt, the dogs would naturally have joined in.
Also I'm not convinced that all this DNA evidence is correct since it is based on only the female mitochondrial DNA, especially with cats where our pet females will breed with wild males and we keep the offspring but if our pet males breed with wild females then we don't keep the offspring so they have much less chance of survival - might explain why most British pet cats look almost identical to British wildcats while the DNA says they come from Egypt and are not related to British wildcats!
People will work it out over time, but a lot of it will be student projects with doubtful accuracy so it may take a while to get it right.