Never used the whistle to hurry folks out of the huddle before. Never even heard the suggestion. Interesting.
As for Freddy's point, I was always taught to let the teams get near or to their benches before signaling the timeout and to start the clock. Don't know how much that works, but, it does give them the full amount of time.
I'd try anything that works......including putting the ball down at the spot and starting my count......which I will do too.