The stones were better live and that is why they still tour. Their music is good live like the who.
The Beatles later work is orchastra orientated so live shows would be theatre rather then live gigs. I mean, they couldn't perform songs from pepper at the Marquee and get everyone up for the gig. That is why people prefer live stones.
The stones did he acid phase but returned to rock quickly.
Bands that do good live gigs always keep going but bands that do studio work tend to either stop touring or tour their other work that is better live. The Beatles wouldn't tour with "love me do" anymore so they just quit.
The stones were a live band like oasis who emulate them now.
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