The results seem logical to me. The domain with links gains authority and ranks high. Exactly what I would expect...
So why does mine rank over all the major brands in the niche with the same products available?
One of the brands is a name many people would recognize if they heard it, not a household name or one people even talk about too often, but it's a *big* name many people would have heard of before and recognize as soon as they heard what it is.
The EMD I'm referring to ranks over their site and the other big players in the specific niche for multiple queries. It does not outrank any of them based on links or PageRank, there's no way.