People are going to remember the Smashing Pumpkins, Pearl Jam, and Radiohead? Really?
I'm more than a casual music fan, and I couldn't name a Smashing Pumpkins song other than Rat in a Cage, a Pearl Jam song that wasn't on their debut, or a Radiohead song other than Creep or a few songs from The Bends.
I don't think the three of those bands will ever approach anything near Stones/Beatles status in the psyche of the general public, most likely because they didn't come out in the early years of rock and roll, when classic rock tastes were first being cultivated.