I think Buckracks is probably correct. First of all, there probably aren't that many people who need to switch, since most people have the same dominant eye and hand. Then, of the people who need to switch, most are going to be right-handed to start with, leaving a very small group of left-handed, right eye dominant people.
I began experimenting shooting left-handed several years ago, when I had a case of tennis elbow that wouldn't go away. Using the opposite muscles to shoot with really helped. I shot exclusively left-handed for a while, and then switched back and forth after the tennis elbow cleared up. Although I shoot better right-handed, I've continued to shoot left-handed regularly to keep both sides in balance.
I feel totally comfortable shooting either way. I'm not particularly gifted athletically, but my body had it pretty well figured out within a week of shooting 25-50 arrows a day. I tell my students in my archery classes that left-handed and right-handed bows are a misnomer; they should be called left-eyed and right-eyed bows, because there is plenty for each hand to do either way.