Being multi-rated I'm sure you know more than I about counter vs. contra- rotating...
But not much, as you can tell from my own questions.
Counter-rotating is what it's called when both props rotate inward. As you know, in a climb the descending blade has a higher angle of attack, leading to the left-turning tendency. A twin with both props rotating the same direction has the same left-turning tendency.
However, counter-rotating props do two things: First, they eliminate the left-turning tendency because the two descending blades are the same distance from the longitudinal axis. (Viewed from the perspective of each individual engine, the "normal" left engine has a left-turning tendency, while the opposite-rotation right engine has a right-turning tendency, and they cancel out.)
Second, since the descending, higher-angle-of-attack blade is always closer to the center of the airplane, the turning tendencies are minimized during an engine failure no matter which engine fails. On a "normal" twin like an Aztec, both props rotate the same direction as they would on a single. Since both individual engines have a left-turning tendency, losing thrust on the right engine means that the left engine, while it's inducing a large yaw moment to the right no longer being counteracted by the right engine, also has that left-turning tendency to somewhat counteract the lack of thrust on the other side. If the left engine fails, however, you have both the thrust differential and the left-turning tendency to counteract with rudder. So a failure of the right engine will require less rudder than a failure of the right engine. (The other way to look at this is the distance of the descending blade from the longitudinal axis.) That is why the left engine is the critical engine on most twins.
On a counter-rotating plane like the Seneca (or the Wright Flyer for that matter), both descending blades are close to the fuselage and each prop's individual turning tendency will be towards the outside, so there is no critical engine.
I've heard that (due to this performance issue which makes no sense to me) some planes have props that both rotate outward, making BOTH engines critical. Highly uncommon, for obvious reasons.