Baitcasters for me are a tricky thing. I like to cast baits far so I dial in the tension to do that. Then turn the boat into the wind to follow the weedline - backlash. Wind is a baitcasters enemy. This is where thumbing the spool as the line goes out is important.
As for the right/left thing, here is my opinion-
Spinning reel - left hand retrieve, float reel left hand, fly reel left hand, downrigging reel left hand, mooching reel left hand etc.
Baitcaster - left hand retrieve. Why anyone would fumble around switching hands during a cast is something I will never understand. I once saw a buddy almost lose his musky rod when his reel backlashed while he was switching hands. I just think its a wasted movement.