Graybeerd is on the same pg as me i think
I too am interested in finding the "just right" amount of light movement. My gut tells me that it is actually a short distance for maximum benefit.
My experience is mostly with 1K's in 4ft parabolic reflectors(vertical bulb) covering 5x5' areas, even up to 6' wide on one side....great success.

Now. We have 25 one ounce plants under that 1K in a 5x5' area achieving 1.56lbs every 9wks (2wk veg, 7wk flower).
If we make the area 5x7' and add the light mover, we add 2 rows of plants. 10 more.
So now the light is moving...but I figure that rows 2-6 can't possibly lose any yield and will AT LEAST produce the same as if those 5 rows(2-6...5rows) are still under a stationary light in their 5x5' space. BUT...those rows 2-6 are now getting slight light angles and technically, should yield more. But even if we just let them stay the same...1oz ea.
Rows 1 and 7...even if they "only" produce 1/2oz ea...10 of them total...5oz extra. Just by adding a mover.

That's my theory.
Just over a 1/4lb more on the very first cycle for the cost of a basic mover on your 1K light.

I think most people move the light too far.