As with many things, it’s a personal preference. It’s worth experimenting.
I’m right-handed. Growing up, I always used spinning reels with the handles on the left, and baitcasters with the handle on the right. I’ve always kept spinning reels the same way. However, I went a long stretch there using many baitcasters with handles on the left. I was using righties for moving baits (crankbaits, spinnerbaits, topwater, etc) and lefties for contact baits (jigs, plastics, flipping/pitching, etc.).
I had a bunch of 8-year old Curado E-series reels that needed replacing at the beginning of last season. The were getting pretty roughed up, and their resale value was still really unusually high because of how popular they were when they were released. The new Curado K is way better, by the way, and I knew people would soon be forgetting about the E-series.
So I switched over to almost all right-handed reels, with the exception of flipping/pitching. I still have the lefty E-series on those rods. Part of the reason I did this is because I was starting to get really bad tennis elbow in my right elbow from fishing, and I wanted to distribute the strain from casting and hook-setting to both arms. The other part was preference. I really hated fishing moving baits with a lefty reel, and that kind of limited how ‘multi-purpose’ my rods were.
Regardless of the choice, there was some sort of switch taking place when I was casting baitcasters. Either I casted with the right and handed the reel off to my left hand, or I casted with the right with one finger over the trigger and then moved three fingers over the trigger to palm the reel. I could never cast well with three fingers over the trigger; my thumb was too far forward.
I encourage all the righty bass anglers on here to try a lefty casting reel (and vice-versa), because you may really like it, especially with flipping/pitching. An instant after the bait hits the water is when the strike often occurs, and that’s when you’re switching hands. Or you may not like it, and then you lose a few bucks and sell it in Classifieds.