In this context high RPMs does equate to high rotation rate.
As post #5 indicates RPMs are required to overcome the frictional resistance of contacting surfaces which is not equivalent to the statement tyre rotation (at any given RPM) causes slipperiness.
In fact stating tyre rotation causes slipperiness is grossly incorrect.
Slipperiness or degree of friction is an inherent property of the contacting surfaces such as resistance to shear, surface energy etc; whether a tyre rotates or not the friction is still there, it becomes a question of whether kinetic or static friction is involved.
To clear up any possible confusion between kinetic and static friction consider a block on an inclined plane.
If the block is sliding down the inclined plane the component of the force mg parallel to the surface which is mgsin(θ) is greater than the opposing frictional force f.
This is an example of kinetic friction where mgsin(θ) - f > 0.
If the block is stationary then static friction is involved where mgsin(θ) - f = 0.
Note in both cases the friction force f is still there irrespective of the whether the block is moving or not.
A rotating tyre needs to overcome greater frictional resistance than a non rotating sliding tyre for the reasons given in this thread.