I highly doubt it. Either go full intake or just do a drop in filter with the lid off (that is what I do). Plenty of threads on that.It would probably add minimal sound on the stock airbox unless you get an open ended filter like the green filter or something.
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That breathing noise is exactly what should be expected of that mod, and any intake mod usually. You wanna hear the suction of the intake. It's cool until you realize exhaust and turbo noises are better, now I hardly notice my intake sound.FYI, don't expect to hear much with an open air box. I cut the top of mine out similar to the RS box and all I hear is the engine "breathing." I was expecting something like my old '04 VW R32, but there's no real "roar" like a naturally aspirated engine.