Do as you like but it doesn't work. The SXTH element intake as well as others are designed to be utilized with aftermarket vent to air BOV's There are recirculating aftermarket BOV's as well from; GFB, Turbosmart, Forge etc., which are designed to maintain boost control and pressure.
Removing the hose, not plugging the intake tube connection will cause boost leak, slow spooling, inconsistent timing, excess smoke from the exhaust, poor fuel economy. Even with the intake tube plugged, the OEM diverter valve free to vent to atmosphere, the engine will have difficulty maintaining boost & boost control, as it was designed to be recirculating.
Also you're going to increase turbo flutter, which is bad for the turbo and will drastically shorten its life. So, for the sake of a little noise you're going to hurt performance and damage the turbo turbo.

Why anyone would purposely want to do this, is beyond me.

Not a very wise thing to do especially on a new car IMHO.
However, it's your car and money being thrown away and no one here or anywhere else, is going to come to your rescue.:wink:
Please post for us what you've said, SXTH Element has stated, "that leaving the recirculation valve open to atmosphere is not a problem." If SXTH Element has stated this, then it's all the more reason to stay away from them as an aftermarket dealer.
Please, keep in mind,posting such comments and not being able to quote the actual comment, is creating a false impression for SXTH Element. Eithway it's not good!