Was Taylor on Get yer Ya Ya's Out?
Oh, yeah. On "Love in Vain" (listen
here, you can hear Mick Taylor come in at 1:21.
On "Sympathy for the Devil" (listen
here), Taylor's half of the dual-part lead comes in at 4:15.
Keith Richards was no slouch as a guitarist, but Taylor's style is much more fluid, and he has a lot more range in terms of style than Richards. His boyish looks didn't fit with the band's image, though, and he wasn't into the decadent lifestyle to the extent that Richards and Jagger were.
At that time ('69 through '73 or so), Keith Richards was more popular than Mick Jagger, and I've always suspected that Richards regarded Taylor as a threat to his standing. I have nothing to back that up, just a hunch, but it would have been better for the band to have kept Taylor on, rather than getting Ron Wood.