I know enough to realise that many of the inaccuracies are historical in-jokes (Peter's mother died shortly after his birth, but half the anecdotes about her are what Catherine did to her son Paul) and the more absurd ones are kind-of true. Not just the obvious ones like the Horse rumour, but even stuff like the roller coaster (it was more of a proto summer luge thing.

I do like that she is growing into the petulant tyrant she actually was and the gradual reversal of her and Peter's roles to where Peter is also pretty accurate as an intelligent, progressive, fair-minded, but impulsive and somewhat casually violent person