Condom and Mess would lose their minds to the idea that even characters perceived as villains can have nuance and depth. The Lannisters were almost marketed as cartoon villains but in the show they would be provided with great depth and a focus on their complicated dynamics (especially Tyrion and Cersei who in theory had all the cards to be just played off in a one note way).
It was even more logical to do this to characters like Cole, Alicent, Otto and Aegon, who aren't even designated villains like the Lannisters were perceived due to their antagonistic position towards the Starks. D&D barely failed at adapting while subtly showcasing a character's history with a limited screen time.
In all of his appearances the authoritarian position Tywin has held as the head of his house or as the hand of the king during Aerys' reign becomes almost unquestionable. The fact that he is competent and possesses the qualities to guide his grandkids until they become of age as well. The safety bubble his presence created for house Lannister for as long as he was still alive. The other characters may not love him but he is granted the respect a man in his position should have had.
Several characters in HOTD are not given this "seniority" in universe and it's part of the reason it falls flat as a narrative and plot.
Alicent has been queen for around 20 years at this point, Criston Cole is a respected knight and commander with even more years on his shoulders, Otto has served as hand of the king for decades during one of the most prosperous times for the Targaryen dynasty. Is this ever acknowledged in universe? No, even when the books explicitly state that Helaena was a beloved queen the show has her and her mother be thrown eggs and cabbage by the "starving" small folk (the irony) not long after her son was murdered.
Somehow only Rhaenyra is given this courtesy and there's nothing that justifies that, in fact, it should be the opposite as she hasn't really accomplished anything in her life on her own, at this point of time she has just lived in Dragonstone for years and never involved herself with any public matter for her to be so much revered by anyone in the story.