to be honest i am not entirely sure about cold/warm air, but the pipe has made a difference as it allows the turbo to kick in quiker so feels more responsive plus the induction kit makes the car sound a little less of a diesel canel boat sound a photo update will be made soon
depends on the quality of the induction kit and the steel pipe, mine is custom fitted so sounds lovely
I have a nice cai kit sitting in my shed, sounded ace on my 1.8t, not sure whether to give it ago on the the tdi.