In my opinion, it has less to do w/ eye dominanace and more to do with "instinctive" vs. "aiming"
When he was nailing the aerial targets he wasn't "aiming" with his eyes. He was merely pointing the bow w/ hand/eye coordination and releasing the arrow when it felt right. Many would define this as "instinctive" shooting (which it is). On staionary targets he is "aiming" and having muh less success. Its why compound shooters can drill targets at 60yds but can't hit aerial targets. Different shooting/aiming methods. One (aiming) is conscious and the other (instinctive) is sub-conscious.
The way he shoots the aerial targets is, to me, a more effective way to shoot/hunt. He just needs to apply the same feeling and technique to the stationary targets. Like someone suggested, it will take some time but if he aims less and shoots by feel more he will greatly improve over time. Shooting by instinct requires experience.
Just my 2 cents...