R..
The target brand never really worked for my DD. I never noticed bunching cotton, but they didn't fit her right and would 'blow out' the top before she even had a chance to finish 'going'! I have found that I like the Pampers best of any brands I have tried... especially since they ARE soo thin! (part of Julie B.'s answer made me laugh though... My DD is only 8 months old, and already into size 4s... :P)