No Doubt return, sort of

The long-awaited return of No Doubt (anything that stops Gwen Stefani from launching ranges of products) is nearly upon us. Sort-of.

They're doing a Gossip Girl cameo appearance. Sort-of:

"As you know, they're reuniting, they're going on tour, and they wanted to do a TV appearance and reached out to us on 'Gossip Girl,' " Schwartz said. "And then we came back and asked them, 'What about being an '80s band?' So they came on as 'Snow Doubt' and they did a cover of Adam & the Ants' 'Stand and Deliver.' It was amazing."

Why would No Doubt have been in the 1980s? And why would they be named after themselves mixed with a weak pun? Given that Gossip Girl is meant to be set in the real world, doesn't a band apparently having traveled back in time undermine its credibility somewhat?