I think the "ignore your sight" vibe comes from a bit of a misunderstanding.
What you want to do is shoot so much that things like sight picture, grip, breathing, trigger control, and the rest become part of your subconscious and the voice in your head is now telling you about more urgent matters like someone who may be about to shoot you.
Anytime you're doing instinctive or snap, or point shooting it's not a casual hacking around dump your mag kind of gig. When you shoot you want the first shot to hit.
The only way to get good at shooting is to shoot a lot and to shoot every day. Fortunately with airsoft that is more possible than with other disciplines. Ammo and other consumables are cheap and places to practice safely are easy to find on the most part.
Brian here's a good thing I ran across about the call your hits folks.
http://www.ukairsoftzone.co.uk/forum...ing-your-hits/