I am not so tech savvy that I could have plotted each of these shots on the green to show the variation and deviation of each, but these are 10 dinged shots under the same conditions on Kiawah Hole 1 with a very low 1-3mph wind, which is in effect irrelevant.
I used the standard rock ball because I am not wasting hits on a good ball for this and I just hit as many times as needed to get 10 dinged shots with my best quality wedge which has the highest degree of precision and forgiveness I could buy - the 100y Mack Daddy.
distance - roll - and proximity to hole in feet. the locations around the hole would have looked like a piece of swiss cheese in various locations. a couple were very close to one another but over all I would say maybe within a 3 yard or 10 foot circle not 1 -2 feet! The only way I could use a 1-2 foot circle would require me to exclude dinged shots that fell outside of that but some shots were pretty close to the other ones. However the dispersion overall is much greater than 1- 2 feet.
98 - 1 - 5 feet
99 - 1 - 3.3 right
99 - 1 - 4.4 short right
100 - 1 - 3.3
100 - 1 - 3.6 short right
100 - 1 - 2.6 opposite side left of hole
98 -1 - 7.6 short right
100 - 1 - 3.2 long
99 -1 - 2.9 right
100 -1 - 3.3 right
some of my miss-dings came just as close as my dinged shots...regardless there is far more than a 1 - 2 foot of variation between all of these dinged shots under the exact same conditions.
according to your theory, it is impossible for these balls to be "dispersed" as widely as they are with one shot even going left of the flag making it 3-4 yards further than the shots that predominantly went right of the flag!
I would be comfortable with a dispersion of all shots within 10 feet of one another and probably half of them within 5 feet of one another but no where near a 1 -2 foot variation.
Since you are a champion tier player you can do your own test and see how it compares. I only recorded dinged shots with a standard unlimited play ball and the wind conditions could not have been much better for testing.
I set myself up for a 100y approach with my 100y Wedge so I could use the flag as a way to provide a reference for each shot.