Like to point out also.. if it's a dungeon run or a multi part raid. You can keep Huton up the entire (read: a great portion) run after casting before your first set of mobs.
If you are efficient with it you can have 1 Huton cast up for 20 mins straight. This is considering that you know when to use Armor Crush to refresh the timer.. 1 min is enough to make it to the boss and have at least 30 seconds. Since you mentioned a static I assume you guys are pretty efficient in your runs and keep a good pace throughout.
I've had numerous runs where I cast Huton and maintain it through a great portion of the run. That's why I don't feel it's an absolute to wait when your Huton and Mudra are already fresh. Learning how to keep Huton up with Armor Crush gives you an extra combat Jutsu during a rotation where you may of stopped to recast.