Can "Domestication" be considered one of the most important evolutionary mechanisms apart from gene flow, natural selection or mutations?

I had been reading about evolution as part of my course curriculum but I also came across the concept that how Domestication of Dogs, Horses and other animals led to evolutionary changes (Eg today's dogs had pleistocene wolf species as their ancestors but dog species arose from those wolf species which became more friendly towards early humans and many other examples)

So I was curious to ask that on this basis we say that Domestication was one of the most important evolutionary mechanisms apart from the mainstream ones (Natural Selection, Gene flow, mutations)?