Interesting discussion. I am like the OP as a limited left-handed, mostly right-handed person. Recently into baitcasting, I have both a right handed and left handed baitcaster. For years, without much thought, I used left handed spinning reels. It became the norm. I use both baitcaster reels while throwing the rod with my right hand. Both retrieves work well but I have to mentally adjust to the "hand manipulation" movements (like drag adjustments, etc.).
I should probably stick to one style so there isn't that "adjustment" to make or confusion in the heat of battle. The choice will be mine. They should call them "handle on left side" and "handle on right side" so people don't necessarily think they have to use a certain one.
Just my thoughts.
Dave.