Hi.
An engine is only able to take in as much as it needs. When you open the throttle more, more air comes in. When you open the throttle less, less air comes in. A throttle by definition limits fluid flow - the movement of liquids and gases. So in either case, you will still experience throttling losses due to the interference of the throttle and the opening of the intake valve. A cold air intake draws cold air by extending itself downwards and away from the engine. Why? The engine produces higher-than-ambient underhood temperatures. The theory is that a colder air intake charge is denser, which means there are more molecules of oxygen available for combustion. However, colder molecules also collide at a lower rate, according to the kinetic molecular theory. So, hotter gases move faster. That is why the intake of automobiles are designed in a way to balance the movement of gases according to the throttle applied. If the intake holes are too big, then the gases will not move fast enough to produce efficient combustion at low throttle openings. If they are too small, then the gases cannot move fast enough to produce efficient combustion at higher throttle openings. Anyways, back to cold air intakes. Believe it or not, most vehicles sold on the market currently have cold air intakes. If you open up the box and remove the filter, you will see an opening that leads to a duct directed to the wheel well. This is ideal for cold air induction. A cold air intake produced by aftermarket companies are usually the same design, but introduce an open element air filter along with flashy looking tube designs. It's mainly for cosmetics. But even if you have an open element air filter, what is that going to do for you at low throttle openings? The advantages are almost nil. However, at higher throttle openings, when induction is aggressive, an open element air filter will potentially provide less restrictive air flow, thereby potentially increasing power production. However, like I said, intake design plays a larger role than a tube and a filter. Also, an aftermarket air intake may also produce a change in the resonance observed in the induction tract. This causes a change in the induction sound, usually producing a deeper sound to please the consumer. Whether it provides significant performance or not is up for grabs.
I think open element air filters provide less restrictive airflow at higher throttle openings. However, you must take into account the other factors that contribute to observable increases in performance. Intake tube materials should be composite or plastic because they have a thermal conductivity much less than shiny aluminum or steel or whatever. The ideal material, one that we see on racing motors, is carbon fiber reinforced plastic. However, it is not economically feasible for many consumers.
Anyways, if you want a significant increase in performance, I suggest you look into forced induction such as a supercharger. Unfortunately, all I really see when air intakes are changed are an increase in sound. This usually translates into a droning noise inside the cabin, which I do not like.
However, a great addition to any car is the open element air filter, which I am sure the intake comes with.