Yup, and the stigma is still so bad (from Charles II as well) that when Bonnie Prince Chuck takes over from Bess II (IF he does, actually), he’s supposedly going to take the name George VII.
I read recently that Elizabeth II has signed a document of succession that states upon her death Prince William will succeed to the throne. Prince Charles, his father, is to be bypassed due to his advanced age. That’s the official reason, rumors claim the Queen thinks Prince Charles is basically wacko. And she’s right.