It's a complete non issue.
In my career I have:
1. Learned on a piston engine trainer, left hand on yoke, right hand on throttle.
2. Consolidate hours in various tail-draggers with a joystick, right hand on stick, left on throttle.
3. Worked in the left seat of a multi piston twin, left hand yoke, right hand throttles.
4. Been an FO in a couple of types, right hand on yoke, left on thrust/power levers.
5. Been a captain on a couple of types, left hand on yoke, right on thrust/power levers.
Never had a problem swapping from one to the other and am firmly right handed.