They are for timber. They do provide a fulcrum around which to rotate your saw. It take a monster to pull the bar through the tree perpendicular to your hinge. However, it takes only one hand to sweep the bar through the cut with your saw dogged up against the tree. You'll see two dogs on larger saws because often you'll be in bigger wood, with thicker bark. You can find bark on Doug Firs better than an inch thick, even in moderate sized trees. Alot of times as well, your saw will be pulling the powerhead into the tree, up against the dogs. Two dogs distribute that force between two instead of all on one. If you ever see a saw with a broken off top dog mount that's from the chain grabbing, and pulling the powerhead into the side of the tree, and breaking it off. There's alot of force there. And for the root flare instance like Rocky mentioned above.
Jeff