I can understand that notion, but usually, I'm just happy to see my favorite band at all. I still think Green Day could look to The Cure who do an excellent job of keeping those big hits that everyone knows (Just Like Heaven, Friday I'm in Love, Lovesong, Lullaby) yet having a certain set of songs they rotate in and out each night to keep things exciting and reward fans who see them multiple times on a tour. Plus, the songs they do repeat are often varied with where they are in the setlist, so shows rarely feel the same.
Also, if an artist is intentionally not performing the hits, be upfront about it. Madonna's Mademe X was all about her current album with a few "reworked" versions of her big hits and she stated this in her press release. Sure it's still disappointing, but those who didn't like that album knew best to wait for the next one.