^ if Rihanna managed to have a successful era with Anti (three released singles before the official first one) and if Gaga managed to scape from media backlash (after no radio support and lackluster sales), I believe Katy can rebound.
The Rihanna example isn't really a valid one. The songs she released on the way to Anti didn't even make it onto the release. Every song, starting from CTTR, will all be on Witness and are clearly part of a campaign that has seen every song so far flop or underperform. They are very much "in" this campaign, two days from album launch and have released essentially a third of the material from it to poor reception.
This era has taken multiple stumbles.