Maybe I will open path to tons of critics, but never mind.
Despite the well-known, splendid bottle-neck parts Jones gave to the band, I think his rhythmic trade mark was a bit pale for the Stones.
Listen to the first Stones LPs, when Keith plays the leads in a Chuck Berry style. Jones is often uninspired, sticking on the beat without groove. He is never "off beat" or "up", which is bit weird for a Stones' rhythmic.
For instance, the BJ (*) rhythmic guitar on "It's not easy" (Aftermath"

sounds to me a bit bored because he sticks too much on the first and third beat, ie playing straight and like a metronome. Of course, when playing such track you cannot omit first and third beat, but there are many ways to play it a little less, or with a little delay, or advance, etc... in order to give the groove.
Think for example to some rhythmic work done after Jones's area, for instance Little Queenie on Get Yer Ya's Out or Stones classic IORR. The rhythmic guitar "sculpts" the beat with palate, and taste, because "it takes its time" with the beat, ie playing not-too-straight on the beat.
Think also to Keith when introduced to the Faces last show (well, the one with tropical plants) – When he jumps on the song which has yet started for a while, he "re-sculpts" the groove, the Faces switching at once to reshape the song as Keith feels it.
Nothing like that with Brian's guitar.
(*) Hope it is BJ... Anyway, if it's Keith, it would not change my opinion.