When I shot target bows, the sight seemed natural for me, until I took two shots at a steep up hill buck and put both arrows under him. On the steep uphill stance, I could not get that stretched almost falling over backwards form to work. When I saw a picture of myself and my stretched leaning back form it made more sense. With my hunting bows, I used four pins, then three and then two and it seemed like all my game shots always came between the pins. While a sight may improve your target shooting right away, make certain that your form will allow you to take shots at various uphill and down hill angles.
When I switched to left hand, to keep from confusing my eyes, I used a tape on sight for a time. Even though I am ambidextrous and my old bowhunter/eye doctor confirmed that I have no dominant eye, I still needed temporary aiming help. I would suggest shooting with both eyes open, avoid shooting your bow and aiming like you are shooting a rifle. Keep all options open, perhaps down the road your natural ability to point the arrow will kick in. There are advantages to being able to shoot a bow fluidly and at varied cants and the bow sight will prevent that option.