I can see the argument of both sides. On one hand, you want to make sure the display is definitely ichless. On the other hand, you want the fish out of the QT tank.
The ich in your display might be dead after 3 to 4 weeks of being fishless. Most cases people have been fine with 4 weeks of being fishless. However, there is a chance that the ich is not fully gone. There have been a few documented cases where ich has lived 35-40 days. Keeping your display fishless for 42 days (6 weeks), ensures that all ich is definitely dead.
I personally would leave the display fishless for 6 weeks. I would rather be overly-cautious instead of not enough. The choice is ultimately yours. However, keep in mind, patience usually prevails over haste, especially in this hobby.