It was heavily rumored that the Stones, stricken by unusual levels of concern and moral determination, had dropped 'Sympathy" from their set list after the 1969 fiasco at Altamont where the Hells Angels murdered Meredith Hunter. It became part of the general mythology of the band, a musical force that wrote a song so cursed with malevolent spirit that they simply had to leave it alone. This was a wide spread belief, but it turns out after all this time to not true, an urban legend, maybe a rumor turned lose by the Stones themselves to distance themselves from the evil the song might have inspired. Mick Jagger did say, to paraphrase, that something to the effect that weird things happen when they play the song. But they never dropped the song from their live performances because, I suppose, commerce is king. After initially loving the song when it first came out, I quickly tired of it. A song created for shock value and maximum impact loses power and relevance with repeated listening. I think it's one of their weakest songs from their richest period. Even when I loved the song back when, I thought the "who killed the Kennedy's " line and the answer "After all , it was you and me" was nothing short of a cop out, another example of Jagger ducking behind theatrical ambivalence .
Laying the blame on "you and me" for the Kennedy assassinations was a chief device . Mailer in Rolling Stone didn't buy the resolution either and called the song , essentially, a case of all build up with no pay off. Jagger evidently tried to sell the audience on the idea that he might be a Satanist but wanted some plausible deniability. On the matter of songwriters dealing with the assassinations of saints and political heroes, nothing has surpassed Phil Och's masterpiece "The Crucifixion