Yes and in the book Tywin keeps calling the wife a whore, but Tyrion knows now it is a lie. Tyrion tells him that if he uses that word one more time he will kill him. Then he asks Tywin where did my wife go? And Tywin says how do I know, wherever whores go... That’s when Tyrion kills him.
I think they do a great disservice most of the time when they try to rewrite what GRRM did in the first place, But then it’s always that way when you compare a book/ movie.
Why did Shae betray Tyrion to Tywin? How did she end up in Tywin’s bed. Did Tywin want her or was this a twisted way to get further revenge on the son he hated?
My favorite scenes were with the two brothers in the prison. It is light repartee but very nuanced.