This is a video I have been intending to make, but when I saw Ron Avery talking about the importance of the draw, he was saying everything I would have said, but probably a tad better.
Drawing your weapon with a good initial grip and a smooth draw decreases the time necessary to acquire a flash front site picture and accurately hit an aggressive, deadly threat.
In a deadly force encounter, milli-seconds count when you are creating an opportunity to survive and thrive. There is a section where he talks about drawing from a seated position (in a patrol car), visualize yourself drawing your weapon from a church seat, pew, from the rear of the sanctuary and the practice it. This is sometimes harder than it looks, and he offers some sound tips.