The mix works against you when flying inverted.
Perhaps, perhaps not. In designs from long ago, there was a type of model known as "Class II" which was controlled by rudder, elevator and throttle. On these type of airplanes, right rudder would make the airplane turn to the right even when inverted (with the rudder hanging to the left side). This was due to the effects of the rudder yawing the airplane to the left, but the dihedral effect rolling it to the right.