Hi Chuck
Thank you for your excellent post.
I think that we are talking about the same technique but may be name things a bit different!
The point where it becomes apparent that you are to smash into the aiming point and where you say you start the flare is what I call the roundout. This is where the approach path gets a roundout.
What follows after that with the holding off is what I would call the flare.
Where you say that you look at the point of no apparent motion and say this is about 500 ft away is where I tell them to look in the distance.
From your previous posting it appeared (or so I assumed) that you taught folk to keep looking at the aiming point.
FD