Wrong.
Switching hands is counterproductive and inefficient.
As you said your right is dominant, why would you want to cast with your left? Conversely why would you want to switch hands and hold the rod with your weaker left hand (your hook setting arm)?
Last Sept on the Attawapiskat tossing bucktails, most times the retrieve was started while the lure was still in the air. If you let the lure hit the water before starting your retrieve you'd end up with a clump of weeds on your hook.
Try switching hands in mid cast and doing that.
I can understand why someone would use a right hand retrieve casting reel if all their other reels were also right hand retrieve.
Most people, yourself included, use left hand retrieve reels for everything else and cast with the right hand.
Makes no sense.