Depends... If you throw a CEL, which generally happens with the deletes, then no you won't. The car will go into limp mode after a full TGV delete, so you'll need to clear the code. The only thing TGV's really do is help out cold start emmissions, so after you warm up they're just in the open position. In theory as long as your car is warmed up and the cel cleared, it should be ok.
Another option to avoid the cel is to just remove the flaps themselves, leaving the rod and tgv motor so the car still thinks they're working. You won't get as great of a gain as the rod will still impede airflow, but you'll still gain over stock.