I think it is a fact that on cold days and also at low elevations (denser air) you do get more power when the throttle is wide open.
The question is whether a CAI will help to a noticeable degree.
From what I can find online it seems that the temp difference at the throttles and ambient can be fairly high when in start - stop traffic.
However as soon as you open the throttle and the revs increase the rate of air sucked in by the engine becomes very large and it does not have time to be heated by passing over a hot engine.
