This depends on many factors. What you are seeing is likely a higher moment at the end of the beam due to increased rigidity of the column. This stiffness results in less column rotation - to follow (attempted) rotation of the beam-column joint due to forces in the beam. Also, in resisting lateral forces, the columns are part of the frame that is attempting to sway. The sway is not a pure lateral translation (particularly near the lower floors) so the lateral movement causes columns to lean, rotating the beam-column joints, which becomes forced bending in the beams. This will not be the same in all columns and beams as you move up the building, so the statement you make in the first post is not universally true.