JSG,
1: It's not good arrow flight. Ideally, you would want your bareshafts to fly true. You will find that tuning your bow, and tuning your form, will change this. So the fletching does slow your arrow but not as much as an arrow flying sideways. Plus an arrow flying sideways does not penetrate as well.
2: "angle" and "grouping" are two different things. Forget the angle. If your groups are so random that you cannot consistently find the center then I would recommend you forget about bareshafting until you become a better shot. So go back to the basics of shooting and get to where your shooting is consistent and then move on to finding the perfect arrow.
I can tell you that my adventure would have been far less vast had I just stuck to the basics that everyone was telling me in the beginning and had more patience. Instead, I would break from the discipline thinking there was an easier route, that some new bow, arrow, or technique would be the "key" to success. They are not. The key is actually in your head and your heart.