I’m trying to lean away from Kylo wanting to hide angle to more “I’m sick of the same thing playing out again and again,” hence still trying to get Rey to join him.
Also, in my ideal vision, Kylo doesn’t really take a moment to consider his life and Palpatine’s offer until he touches Vader’s mask again in TRoS. The way I have it played out is that he hears Palpatine over the radio on Crait (inspired by popasketti’s edit), searches rumors of Palpatine’s survival for a year, then after seeing Zombie Palpatine, goes into a state of shock when he realizes his life has been a lie. If, like RogueLeader said, TFA were edited to make Kylo have a vision of Vader saying “if the Jedi are not destroyed, there will be civil war without end,” then Kylo’s vision in TRoS can have him heat the same dialogue, but in Palpatine’s voice.
Currently, I see Kylo’s motivation not so much as wanting to run away with Rey but more “either we kill Palpatine together or not at all.” And in that light, I’m not sure if he would destroy his own Wayfinder, since his Plan A is “kill Palpatine with Rey at my side.” It’s just he’s still a bit power hungry, which is why Rey doesn’t trust him. Actually, let me tweak the speech a bit more:
“Skywalker & Palpatine, still fighting his war. Alone, all that waits is the Dark Side or death. But together, through our bond, we’ll have peace…make things the way we want them to be!"”
Another call back to RotS, this time with Palpatine telling Vader that with the Sith ruling the galaxy, they will have peace. Kylo’s arc here is almost an inverse of Anakin’s RotS arc, so desperate to rise (heh) above his baser instincts, but still beholden to a toxic mindset he’s been groomed all his life into.