What ddp do you have? I have the BIC ddp and the only flap thing i can think of on the ddp itself is the metal peice that divides between the waste gate and the exhaust wheel. Its just a metal tab that keeps the flows seperate.
Are you talking about the waste gate as the 'door/flap' ? Since that is the only part that opens/closes near anything you are talking about. If your wastegate is stuck open or faulty you'd get a ton of boost lag.
For the first question, Not really. As long as its not damaged in some way the only thing a ddp is going to do is be more noisy and make more power, maybe lower your gas mileage slighty if at all.
Oh and sound badass when you step on it!