Hey, glad you could join us here on the forum!
That clip was made with that script in mind, with some changes. It seems to be received well, and I do like how it emphasizes that whatever his motives up to that point, by now his power-mania has enveloped him. However, it seems that removing his mention of overthrowing the Emperor may be missed. And it would feed into that narrative of Anakin going mad with power. He makes a similar move in ESB, pitching the same idea to Luke.
If it had been feasible in the earlier scene where Palpatine pronounces him ‘Darth Vader’ to remove the idea that Palpatine has not actually mastered the ability to cheat death, then removing that dialogue on Mustafar would make more sense and paint Anakin/Vader as enjoying a sense of righteous loyalty to Palpatine.
But, it can’t really be removed without gutting the scene and obscuring his motives to the point that it suffers for it. So… it was worth pursuing, but it seems better to leave that part out (meaning in).