I have both a snorkel and an AirDoc. The snorkel itself won't get you any more airflow...but it will get the inlet up out of the water. Much like an exhaust system on a school bus...the longer the path of airflow is...the larger diameter it needs to be to maintain the same airflow. I didn't notice any change with or without the snorkel...but the 5-cyl is practically asthmatic anyway, so I'm not sure you would "feel" much difference. Any sort of "ram effect" is strictly b.s. unless you are travelling in excess of 200 mph.
However...I did take my air box apart and remove a small piece of the stock intake tube. The piece I'm talking about seems to act like some sort of orifice to limit airflow or something. Its a small plastic reducer, that seemed very restrictive...not sure why it is even there. Anyway...you can pull your air-box apart, yank that reducer, and put it back together so you can get full flow. You might have to fab up something from PVC to replace it. I did this mod along with (at the same time) installing the AirDoc, and THAT was much more noticeable than the snorkel. Its my understanding that this little reducer is not always there...some H3's have it...others don't. Mine is an 08 and it did have it.
One final note: None of this applies to Alphas...the intake system is completely different.