The expression "fast is smooth" is accurate, but it's something that is often used to keep people focused on fundamentals. And if you're trying to get a shooter from 7 seconds to 5 seconds on a Bill Drill, that may very well be an effective means of getting that shooter to where he needs to be for that particular period of instruction.
The problem becomes shooters that move the left hand to their cover shirt, draw, establish grip, squeeze, BAM. A-zone. Every time. And that's good. But they continue to move slow because they have it in their head that the instructor taught them to "be smooth" to the point that they will sacrifice speed.
But if you want that shooter to get to a sub 2 or 3 second time, you have to get him to move his fugking ass. To include being fast on the trigger.