For me, it is a blend of instinctive and gap shooting. I am conciously aware of the arrow but it's definately not the focus. The greater the distance, the more the arrow reference factors in. If the target close and I need to shoot fast, like when a pheasant busts out of the brush at 8 yards, I can't recall the arrow at all. I think it is a very effective style of shooting.
I don't know why so many are against using the arrow for reference. When I have introduced people into trad, split vision is what I try to teach. It just seems like a new shooter will put the tip of the arrow on the target and over shoot. If they learn the general area of where the tip should be, I think it gives them a big head start. If someone draws and holds at anchor, I don't know how they can ignore the arrow's tip or why they wouldn't use it to their advantage.
The arrow's tip, however, never should be the focus. Even with a rifle and open sights, you shouldn't focus on the sights. Always focus on the hair you want to hit.
Congratulations on making big strides in your accuracy.