What do you consider significant? That's probably good for 1-2 hp, if that.
You could do the exact same thing to your contour. Remove the air box fendwer draw as they have labeled the "lower resonator". This will make your intake louder and introduce nice fresh hot air into your intake charge. Your intake will be louder, so of course that adds power right? And the warm underhood air, as we all know, is great for a few hp.
My advice, do it. You won't notice the loss anyway.