The simple answer to the posed question is "No."
The rpm of a rifle bullet as it exits the muzzle is determined by its muzzle velocity and the rifling twist rate.
For example:
Assume: Twist rate = 1:10; muzzle velocity = 2,000 fps.
2,000 fps equals 120,000 fpm (feet per minute).
120,000 fpm equals 1,440,000 ipm (inches per minute).
At a twist rate of 1:10, bullet makes one revolution per 10 inches of travel; in 1,440,000 inches of travel, it would make 144,000 revolutions, or 144,000 rpm.
This does not imply that rpm will remain constant over time of flight, but does calculate rpm at the moment of muzzle exit, which, as noted, is fixed entirely by twist rate and MV.
The only effect that propellant burn rate (or propellant charge, or any other factor) can have on muzzle exit rpm is any effect it might have on muzzle velocity.