That's right. I went to a concert once (mainly to please a friend of mine wo has all their albums), and there was only some real reaction from the audience when they played the golden oldies. Otherwise the audience was polite, but rather passive.
Both the Stones and the Beatles were typical products of the sixties, their music, their lyrics, it's all strongly related tot the era. The Beatles split at the right moment, the Stones went on far too long to imitate themselves. They should've split in the early seventies too.