It's a pretty nice axe, but not that close to the Kelly Perfect.
The raised cheeks are about the same height as the original True Temper Kelly Perfect, but the axe head is thicker and softer. And the raised cheeks have a different sweep, as you can see below.
I have a 3.5 pound Kelly that is pretty worn and larger than the Warwood Perfect, which is a 2.25 pound head. The old Kelly Perfect is quite a bit thinner on the outside edges behind the bit, despite being the larger head. On the outside edge, where the cheek sweeps in behind the edge, the old Kelly is 0.21 inches thick. The corresponding point on the Warwood is 0.31 inches thick.
Where the cheek sweep ends before the haft, on the outside edge, the Kelly is 0.41 inches and the Warwood is 0.57 inches.
I don't know the hardness of either head, but the Kelly is harder. I can scratch the Warwood with the Kelly, but the Warwood cannot scratch the Kelly.
The Warwood came with a beautiful haft, with the grain perfectly parallel to the head. The fit was good, and left with a little less than an eighth proud. The bit was fairly sharp, but there was a considerable burr on one side. The balance is nice. It's fun to use.