I'll give examples from .22" LR & .223", as this will perhaps best illustrate the issues involved.
.22" LR is normally shot through a 1:16" twist bbl. This works well, but suppressor manufacturers generally won't warranty their cans if Aguila .22" SSS is used. Why? B/c .22" SSS has a long, 60 grn bullet, and doesn't always stabilize in 1:16" twist bbls, which can result in baffle strikes.
.222" normally has a 1:14" twist bbl, and since .222" couldn't quite make the armor piercing requirements the Army was demanding, the M-16 was chambered in what became .223". The M-16 too had a 1:14" twist bbl, until the infamous Arctic tests resulted in a change to 1:12" twist, b/c it was alleged that some bullets in the Arctic test keyholed in the cold air.
Off to Vietnam w/ the 1:12" twist the M-16 went. Colt brought out the SP-01 for civilians, also in 1:12" twist. This was perfectly fine for the 55 grn round of M193, and the USAF discovered, also decent for .22" LR, which saved them a bundle of money in training.
In 1982, the USMC finalized the M-16A2 with a 1:7" twist. Why so fast? B/c NATO was switching to the 62 grn SS109 bullet in M855 ammo - but that stabilizes just fine in 1:9" twist. However, the M856 tracer round that tracks similarly to M855 is 63 grains - but much longer, necessitating the 1:7" twist.
So let's take our .22" LR adapter from our old SP-01 with 1:12" twist, and plunk it into our new Bushmaster w/ a mil-spec 1:7" twist bbl. Then let's shoot the same cheap bulk .22" LR out of it we always have - and discover our groups have gone to hell. What on earth? I thought we couldn't "overstabilize" a bullet?
Well, yes, and no. What's happened is we're using cheap bulk .22" LR ammo - and the manufacturer doesn't spend very much to make sure those .22" bullets are perfectly concentric. Spin them out of a 1:16" .22" LR bbl, they do fine. Spin them out of a 1:12" M-16A1 bbl or a SP-01 bbl, there's hardly any difference in the groups, and any difference you'll chalk up to the gap btwn the bbl and the chamber adapter.
Spin those same cheap .22" LR bullets really fast out of a 20" 1:7" twist bbl, and any imperfections in the cheap bullets cause them to wander all over the place.
.308" Winchester will run all the way up over 200 grns, so needs a 1:10" twist with normal loads & velocities. The M1 carbine is firing only a very short 110 grn pistol bullet - so it can get away w/ a much slower twist. 1:10" twist won't hurt your project - but you might give up a tiny bit of accuracy over a slower twist. It would, however, allow you to shoot much heavier bullets, possibly setting you up for a subsonic .30" Carbine load.