That would've been cool. Though, it was my understanding that Epitaph was the only reason King Crimson was useful at all. Without the ability to see what would've happened in the erased time Diavolo would be just as confused as anyone else upon "emerging". If he lost Epitaph he wouldn't be weakened just enough for Giorno to beat him after a tough fight, he'd be completely useless and unable to use his Stand productively at all.
That said, I do like your idea even if I'm not quite sure it'd work. It'd be really neat thematically for Diavolo's callous disregard of Doppio to ultimately bite him in the ass and spell his own defeat.