To be fair, some of their 70s stuff wasn't completely free of filler: It's Only Rock n' Roll, Goat's Head, Black n' Blue, Emotional Rescue, even Tattoo You had more than one lame tune. The problem is that they've set an impossible benchmark with Sticky Fingers, Exile, and Some Girls.
And sympathy for the devil. When songs made 25 plus years ago sound better than what passes for rock today, I'd say that isn't much of a problem. What is most amazing to me, is the band is still together. Most bands would have killed each other by now.