I don't know, I don't think its possible to have less of an edge than Bon Jovi. We're talking about a dude who sings about having a guitar that is really like a gun "cause he's wanted dead or alive." I got the sense that Rzeznik at least sort of meant what he was singing about on some emotional level? He's mediocre but at least he's trying to sound a little like the Clash.
How about this? What if we were to graph them based on the data from Blender or some such? Like if we throw Britney Spears, Billy Joel (who I think should be the baseline for mediocrity, not Bon Jovi, Billy is one of those guys who should know better but doesn't) Matchbox 20, Evanescence and hell Limp Bizkit up there, figure Jon Rzeznik and company probably come in in the upper half of that pack? I guess we're talking relative levels of badness.