Show Tyrion is basically the same character he's always been. The drinking sarcastic dwarf who thinks he's smarter than everyone. Based on his behavior in S5/S6 you'd never know he killed his father and lover within the last year.
He's not actually the same character. Somewhere along the way he has actually gotten more noble, less direct in his rudeness, and picked up a good dose of extra empathy along the way. It seems killing those closest to him actually made him a better person!