so would it be better to use our left hand to control the stick, leaving the right hand to access other controls?
It would be a bit awkward vice-versa using the right hand on the stick and left hand cross-over to reach other controls?
It all depends, are you talking about flying in sim, or a real aircraft. When simming, I have a flight stick, so right hand is the natural way of using it. However when I fly the regular Piper or Cessna, then I use the left hand on the yoke and right on the thottle. Now there are aircraft, single or tandem seat aircraft, that will have a center stick and a left hand throttle. In my opinion, it is pretty easy to go back and forth, so I wouldn't be too worried about which hand I'm using.