Well,
Here is a little story : A member of the MPC once noticed that his lude was very slow. Something was definitely wrong with his car since it wasn't pulling at all. After a lot of investigation, they found out the Fast Idle Thermo Valve (FITV) was the problem when someone noticed that the Intake Manifold was red hot.... The FITV was not closing at all, always allowing the coolant to run through the Intake Manifold......... Resulting in an higher Intake Manifold temperature than the normal.
So, if a hotter manifold intake temperature has such an negative impact on the performance, I easily assume that a colder intake manifold would have a postive impact on the performance.
And since my lude also become slow during hot traffic driving because of the engine bay getting real hot, I definitely saw bad (or good) impact on performance when the air temperature changes.
If the mod doesn't work, a CAI doesn't work neither...
My opinion