Teams of japanese/euro engineers have spent millions of man hours and money on researching the air flow characteristics in your intake system.
They then designed that aforementioned system based on a set of production parameters which include optimized induction as a criteria.
As a result and in most cases, your stock air box or paper based filter stands as the most efficient and power/cost effective solution for your engine.
I really doubt that a dinky little electric motor or poorly engineered turbine is going to have much effect/pros to your induction system. I am quite certain, the research-less accessories mess with the fundamental air flow of your system.
If this stupid little things works, I am sure; hi perfomance NA beasts like the Ferraris and Lambos would have been putting this contraptions in a long, long time ago.
Btw... I am no engineer and my logic here is purely by deduction and common sense.