Since the engine's requirement for air is at the greatest, when at high boost and high RPM, only then, and only if the stock airbox is starving for air, will a different designed CAI or freer flowing filter make a difference IMO.
I don't believe any of the aftermarket CAI's provide any 'colder' air (which is better of course), over the stock air box.
If anything, the open top aftermarket boxes would have to be worse than the closed stock box with sealed lid, as the open box design, uses the hood as the 'lid', which has the heat of the sun beating down on the metal hood, transferring that heat by radiation into the box when the car is idling and stationary.
Also, the size or volume of the box itself is still limited by the size of the inlet mouth leading to the box from behind the grille and the size of the turbo mouth opening, which must remain the same if it is to fit.
The louder sucking sound made by these aftermarket CAI's is more to do with the cone pod filter design over a flat filter.
I guarantee, if you could somehow, fit a small pod filter into the existing stock airbox... You would also get an increased sucking sound.