Or people that default to the oft-cited: "slow is smooth, smooth is fast" mantra. No, it's not. I can show you the slowest, smoothest draw ever....and it'll never be considered fast.
Or the "Economy of motion = fast." No, it's not.
To be fast, you must move fast, smoothly and efficiently.
David,
I understand why you posted what you did, but you're railing against phrases that aren't wrong, they are simply misused. "Slow is smooth, smooth is fast" is really about not pushing physical speed to the point of breakdown. It isn't about actually going slow. It's about going as fast as you can, while still moving smoothly, and not hanging up or fumbling. Economy of motion has a similar goal-- limiting the work to what
must be done, and cutting out the rest. The truth of these can be seen when Rob Leatham and his slow feet finish a course of fire with times that blow away most shooters, or when someone sees Frank Proctor pulling .21 target transition splits.
The truth is, our bodies have a raw speed cap, and soft caps on how fast we can move without losing control. When you operate at those speeds, the only way to get faster is to refine movement.
OP,
One thing I strongly recommend to speed up the draw is to break the movement down, and to put a lot of effort into the first parts of the movement. One of the things I like to do is to set my timer to random delay, with a 1 second par. When the buzzer goes, I sweep my cover garment, and transition into a high, strong grip. This particular drill stops with the strong hand locked into the grip, with the pistol still in the holster. I start with 1 second because that's a par I can easily and smoothly hit. As I go through reps, I reduce the par. A good starting point is to work on getting 5 consecutive clean sweep --> grip reps, then reduce the par by .1. Eventually, you'll reduce the par to a point where you can no longer cleanly perform the action, and you'll know what it feels like to operate at the speed at which you can move without breaking down.
It barely takes any time to work through that drill. Once you're done, move on to dry press out --> first shot. Same thing. Random delay, and a par that leaves a slight cushion. 5 clean reps = reduce par. Concentrate on executing the movement perfectly, so that the drill ends with your front sight on the target, and your hands in a good grip on the pistol.
At this point, you'll have been working for less than 5 minutes. Move on to dry draw --> shoot on a small target. Again... par with a slight cushion, clean reps reduce the par.
In about 5-10 minute sessions, twice a week or so, you'll quickly cut down your draw time.