I loved those similarities when I watched the episode. Jaime's face when he saw Drogon was pure horror.
I think Dany's development has always been foreshadowed in the story. Some of the nuance has been lost on the show, perhaps because of the limitations of the medium when it comes to revealing inner thoughts and feelings (Dany is a character whose development is realised inside her head at least as much as it is outside of it), but I still think there's enough to make people reconsider if they watch it again.
In the first book she has convinced Drogo to conquer Westeros and put their son on the throne, and she's riding through a battlefield and sees dothraki soldiers raping a young girl on top of a pile of corpses. Dany's tearing up but tries to justify it to herself as "the price of the Iron Throne". I'm not gonna lie, I skimmed a lot of the Meereen chapters in the books because they were insufferable, but one thing that stood out to me was how easily she accepted the 'price of war' while at the same time being so offended by the fighting pits, and really any small compromise she had to allow the slavers outside the city walls as part of her peace bargain. I think it was one of the earliest indications that she buys into ideas of war but struggles to make a difference when the fight is no longer physical.
In the end the people turn against her because she has liberated a society and eradicated its entire economy without putting a better one in place. Meereen is one long governing disaster, sometimes oddly similar to what the US were doing with Iraq if you're a fan of real-world allegories. Peace requires compromise and diplomacy whereas Dany is as blunt as her moral convictions. Tyrion does try to sort this out after he arrives and is left in charge when Dany mounts Drogon and escapes the uprising in the coliseum, but it's too little and too late. The slavers think him small and weak and realise that both Dany and her dragons are gone, and they come to take back their slaves. Dany ends up burning them all when she returns, and she seems pleased to do it. The fact that this wasn't a solution at all seems to escape a lot of people. In the end she just leaves Daario (who no one elected, who has no dragons or special abilities) in charge and embarks on her next conquest.
Dany's story can be seen as a thoughtful exploration of someone who was capable of bringing peace to her part of the world but found that she was much more suited to conquer and vanquishing instead. The point isn't to turn her into a pantomime villain but to plot a character who slowly starts taking what she wants through fire and blood, and then leaves it to others to pick up the pieces. The violence and the ignoble tactics were easier to justify against the slavers of Meereen, but there are none of those in Westeros. Instead there's a dragon queen who rides into a country she's never lived in and accuses Jon Snow, who has literally given his life for the North, of being a traitor to it, all while she's throwing hissy fits because her authority is being questioned by the people who actually live there.
I believe they made an important point in that lambasted Ed Sheeran scene where Arya meets a bunch of chirpy Lannister soldiers who are on their way to King's Landing. Around the fire they're reminding her - and us - that most of the people involved in a battle are just poor boys who are fighting for the rich houses when the highborn decide to play their game. This is the first time Lannister soldiers have ever been humanised on the show. Two episodes later some of those poor young boys can be seen lining up against a dothraki army that outnumbers them ten to one, with a dragon flying overhead to top it all off. Some soldiers are shaking when they get their spears ready. A few minutes later most of them have been burnt to ash and cinder in gruesome scenes. They make a point of showing people screaming and crying, their skin literally melting off their bodies. Dany doesn't seem to give them a second thought.
