I still never understood what The Rolling Stones had on The Beatles, The Who and Pink Floyd other than maybe commercial appeal.
The thing is, everyone trys to label them as outsiders, as rebels and hipsters. Maybe when it come to their image, but their music was just Rock N Roll and nothing beyond that, and all and all as everyone from AC/DC to GnR know, Rock N Roll is what sells.
Overall IMO, The Stones are incredibly overrated, argubly the most overrated band of all time, and of all the big banRAB that came from the London scene and the British invasion, they were the least original. People give them credit for creating hard rock, but their music wasn't really that different from traditional Chicago blues and R&B. The Who, The YardbirRAB, Cream, Hendrix, Zeppelin and Sabbath did a far better job at channeling those influences into a unique sound.
The Stones did popularise the idea of blues rock, but they were not that innovative, their legacy is mostly about image.