Yep, there would need to be some new dialogue in there. I found a youtube video once where someone incorporated more of Snoke’s dialogue from a novel into the scene where he talks to Kylo about the Knights of Ren. It’s fairly well done, in that I was unsure if this was actually a deleted scene for a moment. So it could be an interesting tack to give Snoke lines like ‘As long as Skywalker lives, the Empire cannot return.’
Another idea is to take Kylo’s statement ‘I will finish what you started’ and apply it to the idea of Imperial succession. If Snoke said something like ‘In his final moments, your grandfather gained an Empire. How the Skywalkers squandered this inheritance. But under Kylo Ren, the Empire can truly return.’