Is there any difference in MotionCor2?

Is there any difference in the results of MotionCor2 between RELION and CryoSPARC?
Is Reference-Based Motion Correction applicable to micrographs corrected by MotionCor2?
Can the polish step in RELION be applied to micrographs corrected by MotionCor2 in CryoSPARC?