Go with whatever suits you!
Having said that, I am right handed, and I only use left hand wind reels.
I honestly think that's the logical way round, to avoid as you say, constantly changing the rod from one hand to other every cast, and if some muscle is needed with a big fish on, you'll want to be holding the rod with your strong hand.
I think most right handers only use right hand wind baitcasters because until recently that was all you could get.
Most right handers use left hand wind spinning reels without even thinking about it.
If you go back in history pre baitcasters, you had single action reels (similar to fly reels) fitted below the rod, left hand wind. When these reels improved, and you became able to cast direct from the reel, someone presumably had the bright idea that if you fitted it on top of the rod you could control the spool with your thumb, so instead of re-engineering it to become left hand wind above the rod, they just moved it round & it became right hand wind.
Now you've got a pretty good choice of left hand wind reels, you've no reason to suffer poor ergonomics any more.
Make the change, it's worth it!