Personally, I’d be a vote of simply removing Kylo wanting to take the throne and he simply tells Rey that “Together we can stop Palpatine.” (Or however it can go) That would be more on par with his motivation in this edit because Kylo doesn’t care about Sith (and the old things) and not outright saying kill Palps because of the reveal at the beginning. Not saying that isn’t what he is trying to figure out how to dispose of him, but it keeps the “logical problem” that both he and the audience knows that “Killing him isn’t simple due to that transfer thingy.”
Plus … wouldn’t it be an easier thing to convince Rey of “Lets stop the big bad guy” and not “Let straight up murder his face.” What would a Jedi-in-training be more convinced to with? (Not saying it outright wouldn’t work to “trick” the Jedi, but come on, what would be more successful?)