The spinning core system is reflected in the first graph. Most planets will be mostly round. Having the radius of of the revolving circle be much smaller than the radius of revolution will minimize distortion and gravity difference between the equators, while a thicker planet will have vast distortion and gravity differences. It’s interesting to think of how wildlife would adapt to this.
I dont think a ring near the outside of the torus would be stable, as the inner part would collapse like a tower. It also wouldnt equalize the force, because the centrifugal force is only applied to the spinning component of the torus, or the inner core. Since the outer section is not spinning, it is not in the rotational frame of reference in which inertal forces (e.g. centrifugal, Coriolis) are applied, unless I am misunderstanding your conceptm