I am right handed. I've only recently got into using baitcasting reels and tried a few of my dad's RH reels, it just did not feel natural to me. It feels natural to me to have the rod in my dominant hand for feeling bites and for hooksets and leave the easier task of reeling in line to my less dominant hand. It also didn't feel efficient having to switch hand after casting to me. Though with practice, like many other users have pointed out, it does become second nature after awhile.
Again, to reiterate the comments above, it really is a personal preference thing. Do what feels natural and gives you the most confident in catching fish. Try things out, don't just go with what people suggest is the best thing for you, for they are not you.