As someone who is right handed and left eye dominant I have indeed made the switch to left handed shooting and LOVE it!
I shot RH for years and had to use the arrow for a “point of reference” to hit the target consistently. I don’t mean to quote G. Fred Asbell but upon reading an article of his he said something to the effect that “if you are left eye dominant you should shoot left handed” and that was all it took for me. Sold all my RH bows and bought a LH Bear Cub. Had to drop 15# in draw weight but within a few weeks it felt completely comfortable. That was March 2009 so now that a year has passed I could not imagine shooting RH any more.
Since switching to LH I now know the true meaning of “instinctive shooting.” All I have to do now is just look at the target and the arrow goes where I look. Fantastic! Make the switch would be my opinion to anyone with this question.