re: Game of Thrones S4:E6:"The Laws of Gods and Men", HODORS ONLY (no book readers)

Has the single most important thing about the episode been sufficiently discussed?

It comes when Tyrion, in his own defense, says "I did not kill Joffrey, but I wish that I had. Watching your vicious bastard die gave me more relief than a thousand lying whores."

Wouldn't that represent the first time a Lannister has publicly acknowledged that Joffrey was a bastard, and thus not entitled to the throne? Wouldn't that implicate the new king as well, by casting Cersei in such a deceitful, slutty... and even treasonous light?

Wouldn't it also demolish what seemed to be at least a somewhat respecting, loving relationship with Jamie?

Tyrion didn't only defend himself... he probably tore the family to shreds, and certainly endangered their standing with the public.