Isn’t the only reason people didn’t want a lightsaber was because he called it a Jedi weapon in Rotj.
No, because everyone is fine with Vader having one. As everyone said a lightsaber should be seen as a child’s weapon for the Dark Side of The Force would be a far more potent weapon to a Force Sensitive of his caliber.
Exactly. The only reason Vader even has a lightsaber is because he once was a Jedi. Not true with Palpatine.