I'm with you, completely. I instructed in T-37s and T-6s and taught an agressive scan, but the OP is referring to what he should be referencing IN the turn. I always taught that even early students should make altitude corrections straight and level (when it's easier and more effective) and shift to a primarily outside scan to clear in a turn.
I usually teach half way down, half way around, crosscheck altitude and airspeed at the 90 in order to anticipate aircraft acceleration rolling wings level on final as they lower the nose to point at the numbers and using minor power corrections to stay on (or more likely correct to) profile. As we know its easier to make smaller corrections in power farther out then some wild ass power input in the grove to avoid landing in the dirt or trying to make the touchdown zone, which are always favorites.