I have not idea what you mean by "residual vectors" and "taking out the earth rotation". The inertial centrifugal force in rotating frames points away from the frame's axis of rotation, and has the magnitude m [itex]\omega[/itex]2
r, where [itex]\omega[/itex] is the angular velocity of the frame, and r is the distance to the frame's axis of rotation. So again:
In which rotating frame would the centrifugal force vector be the same for A & B (as shown in the picture)?
A uniform inertial force field causes uniform acceleration, so it cannot cause or contribute to any deformation (tides).