However there’s still one remnant of that plot I caught, that is, on the now separated vision of Kylo Ren at the beggining of the film, we see the the Sith throne for a brief moment. I wonder if it might be better to change this, as to me it signals Kylo’s interest in the throne, which we are trying to distance away from, making the thone only relevant to Rey’s struggle. I’m thinking it could just be changed to a shot of Palpatine, who we hear commanding him to kill Rey.
I also had this thought. But you have to remember that this vision is coming directly from Palpatine. It’s not a visual display of what Kylo himself actually desires. And the beginning of the movie makes it clear that Palps “wants” to give him the throne if he does what he asks. Of course, that’s not what would happen, but it’s what he’s enticing Kylo with.
It’s more of a scenario in which Palps thinks Kylo wants one thing when in reality he wants something else. That is admittedly a bit complicated so your idea has its merits.