Nope, research has shown that over 67% of left handed people have same brain dominance as 97% of right handed people.
Less than 1/3 of the left handed folks actually showed a reversal.
When it comes to the paraliminal.. matters not.
You can experiement for the variety, however even if you lack hearing in one ear you will still benefit from the duel voices as they are actually both audible in both sides.
Alex