Interactions like these are referred to in the video.
They love mentioning that Jon is loved by everyone but he's only love by the wildlings, really.
The Dornish used to support Dany. They still should, since the burning of King's Landing should be a positive for them. Worst case scenario, they stay out of it given Dorne's history with dragons.
She has always been ruthless towards those she views as enemies or evil, such as slave masters or armies of people who oppose her. But she has always been shown to have love and compassion for the poor and oppressed. She was willing to chain 2 of her "children" in a dark dungeon because one of them killed a shepard's child.
Daenerys has spent 5 seasons abolishing slavery on Essos and fighting for the slaves because she cared for them. She's been burning slave masters and soldiers who fought against her during war. If she wanted the Iron Throne so badly, she would have sailed to Westeros with her unsullied instead she stayed and ensured slavery would never return in Meereen. Dany, a passionate and loved ruler who had always taken surrender and NEVER harmed innocent people.
Slavers were given the opportunity to end the slavery and nothing would have happened to them. Their caste as a whole was using nasty ways to train the enslaved people and make them obey (including maiming them). Sure, some of them might disagree with the methods but still no one was completely innocent by perpetuating that system.
She had no idea either that some of them were against the crucifixion of those kids, she couldn't know and none of them ever gave her a signal that they are see things different than the others.
Also is not that Dany don't want to end the opressions and bad habits due to her moral views and without personal gains. Iirc she told Yara (after she named her as Queen) that her folks needs to stop the whole piracy, looting, raping and killing way of doing things.
Burning the Tarlys because they did not bend the knee was an act of war, not to mention they betrayed their liege the Tyrells and sacked their home Highgarden. She's the victor of the battle.
Except if they bend the knee, they get to live, their homes are intact and their loyalty now lies in her instead of Cersei or they can die. A choice between life and death. It's how Westeros feudal system works.
The act of ''bending the knee'' is common in Westeros and has existed long before Aegon's conquest. Every noble Houses in Westeros proclaims their enemies to bend the knee after their enemies are defeated.
You could find ten times as many quotes about her saving innocents, how come those don't count?