It helps to understand The White Stripes in a temporal context. At the time they broke out there really went any decent bands to speak of who were making stripped down and raw blues based music, with brash and blaring guitar and a decent amount of swagger, that was also intelligent and not overly aping.
I think the thing about The White Stripes for me is the fact that 'they' (if there ever really was such a thing) always came across as a medium for Jack White's massively inflated and actually undeserved ego, more than anything else. It's also why I dislike Muse, although imo The White Stripes' music is infinitely better. s*** haired, teenage goaty, screeching little posh Cambridge boy, using a talk box in the 00's.