Actually the 1 in 10 twist rate does fine with the 6 M/M and .243 rounds. Note that E. R. Shaw offers the twist rates below.
1 in 12 is too slow for the 100 grain bullets, but works fine with the 60 , 75, 80 grain bullets. The best all around twist rate is the 1 in 10 for the 90 and 100 grain bullets.
The 1 in 12 rate is generally used with the 6 mm Remington Bench Rest, the 6 MM PPC. the 6x47 and 6x45 for the lighter bullets for target shooting.
The 1 in 8 rate is as Lloyd says for bullets over 100 grains in weight, never saw the need to use one in a 6 m/m. It is too fast for the lighter bullets especially those under 80 grains in weight.
If you expect to get good performance from the light 55 grain and over 100 grain bullets in the 6 M/M with one twist rate you are going to be disappointed, You need two barrels one with the slow 1 in 12 twist for the 55 grainers, and a 1 in 10 or 1 in 8 for the heavier bullets.
Shaws twist rates.
1-8 | 1-10 | 1-12 6mm Rem. Bench Rest6mm PPC6mm Rem. Ack.6mm Rem.6mm-06 6mm/284 6mmx456mmx47.240 Wby..243 Win..243 Ack..243 WSSM