the problem though is that the sound that resonates on the panels is a reflection of the signal that comes directly from the sub... so if you start with an inaccurate sound the resonance or continuing vibration will continue to sound inaccurate. if you start with an accurate signal, then it will continue to be accurate... so basically if the transient reponse sucks, yes it will sound bad and will make a difference.... so you say well hey it's moving 60 times a second, you won't be able to hear the difference right? wrong.
thats like saying 60 and 61 htz are the same, to your ear they might sound indistinguishable, but to some they don't. the fact is you do hear all of that, even though you don't have the ability to focus on everything you hear (IE: can you write down a symphony after hearing it?) there are a few who can, probably about .0001 percent of the population or less ...but you still HEAR it all... small variations in transient responce greatly affect the accuracy of the sub... thats why some subs are more suited for SPL while some subs are better suited for SQ with the same power handleing...