For those interested I have made some models comparing dimpling, fluting, and re-profiling. Dimpling removes the least weight and re-profiling removes the most.
This is a picture comparing three 10" SOCOM diameter barrels I modeled so they would all have the same mass. The dimpled barrel had the smallest minimum diameter (.570"), followed by the fluted (.664"), and then finally the re-profiled barrel (.770"). The dimpled barrel had the most surface area of the three. A 16" barrel would have approximately twice as much difference. I do not know the exact measurements any company uses to dimple or flute their barrels, I simply used a .250" ball end mill and spaced them based on the pictures I have seen. Most likely they won't remove as much weight as I did, this was only for comparison.
The dimpling does look the best IMO. Based on cost and how much weight I wanted to lose, I chose to re-profile my barrels.