By contrast, naturally aspirated engines love cold air feeds just as ours love high performance intercoolers.
IC's won't give more power directly but in a tuned engine they can assist in allowing for revised timing or fueling for example. They'll also help you run power consistently over extended periods or hot conditions. In a tuned engine there is also a point where only an intake can supply the volume air of required, although they're bought for other reasons these days.
What became apparent to me as my car went from stage 1 to 2+ is the relationships and dependencies that exists between different pieces of hardware. You can get to a point where adding parts slowly can work against you and you find you have to add many parts at once in order to avoid issues - CEL light on, AFR poor etc, fuel cuts, timing being pulled back...the list goes on.