I agree it’s also better to remove Kylo’s interest in the throne, and it makes for a much more tempting offer to Rey if it’s more like “join me and together we will destroy the Sith!”. Like Jar Jar says it’s more in line with TLJ Kylo, we already see in the board room scene that his main interest is gaining more power to build up his empire, so it works to steer his motivation in that angle, still wanting to end the old things (the Sith, the Jedi). He just wants to take Palpatine’s resources and he still wants Rey by his side. When he offers his hand to Rey in the hangar it would actually be a lot more similar to his ploy in TLJ.
This way these lines in Pasaana: “Serving another Master?” “No, I have other plans.” would actually be meaningful, he even refers to offering his hand to Rey afterwards.