Most my baitcasters are LH, but some are RH. I use both, it takes about 3 casts with some extra concentration to get into the mode. Not a big deal, and I'm about the least coordinated person you'll meet, certainly not ambidextrous. I think there is an advantage for some presentations, to switch hands, or not to switch hands. For some, it just doesn't matter. I think you're better off learning both early in your baitcasting career.
For Codfish, for some unexplained reason, early in the baitcaster learning process, my one sure thing was a backhand cast. I did it because that was what was needed, and it was much easier to control the reel without getting a backlash. Still can't explain it. I have even skipped a spinnerbait with a baitcaster...on purpose...with good results. Spinnerbaits skip pretty well.
I cast with my right hand. For pitching, I use a 6.2:1 LH. For flipping, a 5:1 RH, simply because I kept getting the line snarled in the handle about 1 in 10 flips. It also gives more leverage, because I am holding the reel, not behind the reel. For C'rig, I use a 6:1 RH (Daiwa TD2Hi...wide spool). For spinnerbaits, a 6.2:1 LH Curado. For crankbaits, a RH, but would gladly trade

my 5.8:1 Calcutta for a RH or LH 5:1 Curado, and not because of the gears, and not because the Calcutta is not a fine reel. The Curado is a better reel, and more user friendly.

IMHO. C&R, Steve