I don't think there's anything generic about "Rumour Has It." "Set Fire to the Rain" is more generic than "Rumour Has It," which is probably why so many people want SFTTR to be a single. Meh, I don't really like "Rumour Has It."
However, I guess it's a break from the depressing stuff, has gotten some radio adds without it being a single, did well at Triple A (#1 on Mediabase; #2 on Billboard) etc. So, this could be her "I Turn to You" - miss the top spot after two big #1s but still do well enough to be called a "hit." At least that's what I hope for. But her label probably wants something at radio for the time being until she finishes her surgery.