And yes, you're right, I am limiting the concept of a turn. I am expecting clarity, because without that, you are stuck to flying the numbers.
By your definition, we don't have to call a flat turn a turn at all, we can call it a horizontal climb... (which Rich does) So what are we doing here climbing or turning, or perhaps just descending less....
The problem in all this for me, is when you teach a young impressionable mind that the elevator is your turn 'lever', and he goes and puts on a bigger load of pop or poison than he should have, and consequently can't get that first turn bent around where he wants, what do you think he's going to do? Well hell... He's going to pull harder

Except the reason he ain't turning is because he's already barely flying... And since he hasn't learned to really listen to the dang thing, he's undoubtedly going to be just a scosch sideways, or perhaps he just missed the fact that the ball was a touch off, because his butt is still not connected to his brain, so yes, he's going to drop wing. And of course elevator won't lift that so he'll try aileron, because after all, the internet God's taught him that ailerons not for turning, but for rolling the wing...
No sir.... I get it, roll the wing, pull the yolk/stick and she'll come around. (not how I prefer to turn, but it'll do). Me? I prefer to label the three primary flight controls by the way they move the world through my windscreen, up/down, sideways, or in a circle. All three of them simply move the airplane around an axis. Everything else they do is solely dependent on where I put them, and how the aircraft is currently configured. Yes the rudder will turn in to an elevator when you're sideways... Yes the rudder will turn the airplane all the way around a center pivot (sloppy, but I couldn't begin to guess how many times I have done this), and yes the rudder will roll the airplane if you're configured to do so (again sloppy, but it will pick up that dropping wing) And most importantly yes, the rudder is the only one not 'married' to the wing. It is infinitely harder to stall than the other primary controls, and will often be the only one still playing right when the wing shuts down.
When your primary brain takes over in a pinch, you're going to resort to what was drilled in to you. I'd rather not snatch back on the stick when it's already bucking through a turn. I'm not trying to convince you of anything,I'm just sharing the way I get them turned around. When I turn a night with elevator ( I call it flying rage) I am wooped. When I fly loose and let the airplane take care of me,I finish the first set up or two a few minutes behind, but finish and get the extra work in early, not nearly as tired YMMV.....
Anyways, thanks again for the link. Unlike some mega instructors who have less total time than I have in a single Thrush, I am still thirsty to learn, and that takes reading, watching, listening to everything and then applying that knowledge as it fits my missions, no matter how good the tidbits may be.
Take care, Rob