same premise: girl falsely accused regarding her role, it coming to light and now her living her best life. Really, the only difference is the role they're intended to play. But, being labeled a "fake" anything, and villainess really isn't much different to begin with, since a fake is typically bad (they can unknowingly do it, but usual you willingly fake it, etc) and villainess is just oversimplified to "bad female".
Thus far all three stories have had very little to differentiate them. At least the villainess anthologies, while stretching the definition of villainess, included some stories that weren't afraid to stepp off the tropey path every once in a while.