If its anything like the H3 intake, it may have an extra opening at the bottom of the box to get more air in(which is taken from the hot engine bay).
The idea of a CAI is to get cool air in and more of it. A less restrictive filter in a stock box is an inprovement but some may argue against using a k&n oil filter. I did a snorkel on my H3 and my Intake air temps dropped by 5* as I basically moved the air inlet from inside the fender (being fed hot air at street level) to above the windshield (which is cooler). Id recommend keeping the stock box, getting a less restrictive intake tubing and if a snorkel is a viable option to use it.
Keep in mind the LS3 throttle body may need some mods to the intake tubing for clearance due to the bigger motor and a tune for calibrations. If you have access to hptuners its very simple otherwise any tuner can do it and you can tune your vehicle at the same time.