Your "skin in the game" should not be arbitrarily tied to a metric/achievement that is not under your control or else working to the same objectives. If manufacturing have no motivation to go faster, I have no control over their speed, and I know they'll just take as long as the schedule allows? then screw it, getting it to them early won't help me get my bonus.
Now, if manufacturing was also getting a bonus dependent on an early shop date, you're in it together. Or if manufacturing reports to me, I can tell them what to prioritize.