Both the Carlyle and the Dorian use a 3" flush valve and a 2 1/16" trapway.
The Carlyle has a higher tank, so the water drops from more height.
The Carlyle is considered a G-Max flush in Toto terms and the Dorian is a Power Gravity, which means it would be more like the Ultimate in the testing.
"Power Gravity" is a gravity system. It does have a 3" flush valve.
Performance with either would be good.
I doubt that either tank would sweat. Since the flush only uses 1.6 gallons and the tank holds much more than that, the water stays warmer.