I wish bullet makers would prescribe an optimal RPM for their bullets, not wist rates. The analogy i have used is the 300 RUM versus the 300 whisper. There is a 3000 fps difference in bullets speeds. The optimal twists are diamterically different.
But, this would be less useful, because it is not RPM that stabilizes a bullet. It is twist rate plus drag coefficient that determines stability.
In the velocity range 2000-3500fps, the drag coefficient is approximately constant, and the required twist rate is also approximately constant. If you want to look at it more exactly, there is actually a small decrease in drag coefficient as velocity increases, and as a result there is also a small decrease in the twist rate that is required. This is why a bullet/twist combination that is just-barely-not-stable at 2700fps can be made just-barely-stable by going to a hotter load, say 2900fps. It's not (directly) the added RPM that has made it stable, it is that the bullet is now seeing a lower drag coefficient at the higher speed.
That velocity range is about Mach 2 to Mach 3.5. In the "comfortable supersonic" area, which Mach 2+ is, it is pretty standard to see drag curves that are approximately flat but slightly decreasing with increasing velocity.
In the transonic area, which is Mach 0.8-1.2, lots of very complicated things are happening aerodynamically. Different bullet shapes behave differently, but in almost all cases the bullet's drag coefficient increases quite a lot in this area - it tends to be higher than the subsonic drag coefficient, and also higher than the high-supersonic drag coefficient. So in this transonic regime, a quicker twist rate is needed, because of the much higher drag coefficient. So something like a .300 Whisper, which likely is firing at a muzzle velocity of Mach 0.95 more or less, is smack in the middle of this very high drag coefficient area, so it will require a quicker twist rate than would be required to stabilize the same bullet at either a much higher or a much lower muzzle velocity.
If you were to fire a rifle bullet at Mach 0.6 (say about 650 fps) muzzle velocity, where its drag coefficient is comparable (actually somewhat less than) to its drag coefficient at Mach 3, would need a similar twist. So if a 1-14" twist is enough to stabilize a .308/155 target bullet at 3000fps, it would also be enough to stabilize a .308/155 target bullet at 650fps muzzle velocity, even though a 1-14" twist is probably *not* enough to stabilize a .308/155 at 1150fps muzzle velocity.