The connecting rods play the most important role in defining how the pistons are moving within the cylinder. Alignment errors due to twisted or distorted connecting rods cause the pistons to run unevenly within the cylinder. The piston is then striking the cylinder walls on opposite side of the cylinder in turn.
As a result, the oil enters the combustion chamber through the gaps. The uneven piston motion can in worst case increase the oil consumption further by pushing the oil upward as it accumulates at the gap.