The story behind Mick Taylor is a sad one
He got his start in the John Mayall blues band when Clapton didnt show up for a show. Mayall asks the audience if there is anyone that can play lead guitar and 16 year old Taylor jumps up grabs Clapton's Gibson and jumps in. 4 years later, Brian Jones dies and the stones are going on tour. They test a few guitarists including the great Ry Cooder, but pick Taylor.
Taylor then transforms the bands live sound while Keith slips in and out of drug hazes. Keith Richards is jealous of the kid and he doesnt get writing credit for songs and is not made a full member. Taylor is a guitar genius and getting bored with the Stones. Also, the consensus in the industry is that the Stones are kaput. Taylor abruptly leaves the band to join up with Ginger Baker in a supposed supergroup. That falls apart and Taylor becomes a herion addict for the next 35 years. He serves as Bob Dylan's studio guitarist for a couple of years, but he's never the same. In return there are a number of "Mick Taylor songs" the Stones never play live because Ron Woods or Keith Richards cant do the solos justice as Taylor would. Time waits for no one is an example
There are probably 10,000 stones videos on you tube and everyone of them has many Taylor references to his greatness whether the vidoe was 5 years before Taylor of 35 years after. He has attained guitar god status but only played with the band for 5 years