My daughter changes hands to both cast and wind with right hand on all tackle.
Have to keep her spinning reels set up for RHW.
(she's all grown now and wrestling for Lady Aggies)
I was writing with both hands in 1st grade, and the teacher rubber-banded the pencil to my right. There's no rhyme or reason to my preferences and muscle memory, throw left, bat right, etc. Like most south paws, don't really have a dominant hand.
So I grew up using all tackle the way it came off the shelf, casting and winding with either arm/hand.
What most people don't get with fly casting until they begin using haul, is that your line hand is more important than you rod hand, because that's where you feel the rod load through the line, and where you modulate timing and power. Night fishing, vertical back-cast, change-direction cast - all need haul, and it should become natural in all casts.
I did notice catching 30+" Kenai rainbows with guide's rod, I can't wind as fast with LH as RH.
In general, my left arm is power, and my right hand is finesse.