Damaged Resonator

Upon installing a Draw-Tite hitch receiver on my new 2014 GT this morning, I noticed that one of my resonators was damaged. One side is dented in by maybe 1/2 inch along most of the length of the unit....I didn't specifically measure. Will this affect anything with regard to its performance? I'd take it in for warranty repair, but if the damage is only cosmetic in nature, I won't bother with the hassle.
 
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I bet if I spent $414 on 2 new sections with un-dinged resonators, the exhaust resonance in my interior would go away (occurs at 1900-2000 rpm only). But it's really not that much of an annoyance despite the fact I kinda wish it weren't there.