After using this technique on my 4 rifles, as stated above, I went out and shot them all today. The 25-06 was shooting <1" 3-shot groups with every load I fed it (including some necked down, non-neck turned, 30-06 brass loads that were shooting patterns, not groups before this) The 100gr TSX load was shooting 3-shot groups of 0.8"
The 7mmRM has a featherweight barrel on it, and the 140gr TTSX load shot the first 2 shots into 0.4", and the 3rd with a hot barrel opened the group up to 1.2". Oh yeah, I also pulled that 3rd shot a little laugh

The .308 and .22-250 showed improvements as well, but the improvements were minor, maybe 0.1-0.2" tighter with a 3-shot group.

All groups were fired at 100 yards.