thinking about how the hunger games were designed to prove that without society, order, government, someone to rule, we devolve into little more than animals, and how the games themselves prove over and over again that this is not true. We see it in every single game we witness.
Katniss placing flowers around Rue's body in the arena. Thresh sparing Katniss because she was kind to Rue, even though he was making it that much harder for himself to win.
Haymitch going back for Maysilee after hearing her scream even though their alliance had been broken. Haymitch holding her as she dies the same way Katniss did Rue.
Coral's "I can't have killed them all for nothing" when she realizes she's not going home. Lamina cutting down Marcus at great personal risk. And, my favorite moment in tbosas, Reaper collecting the bodies of his fellow tributes, his peers, even the ones who tried to kill him, into a pile. Taking the weapons from their hands. Closing their eyes and crossing their arms in the best approximation of a proper burial he can manage, covering them with the Capitol flag as a makeshift shroud.
The Games bring out the worst in people, yes. But despite the extreme circumstances, despite the exterior pressure of the Capitol, despite the fact that it could mean pain and heartbreak and death, it also shows that people have an enormous capacity for goodness. That even in a situation purposefully designed to make empathy impossible, people can't help but have it anyway.
Snow looks at the Games and all he can see is what's inside himself-- this pure animalistic drive to conquer and defeat. He kills and it feels good and he thinks that everyone else must feel that way too. He doesn't realize (maybe can't realize) that he is the exception, not the rule. He cannot see outside himself, outside his own warped perspective, to realize that the fact that people do show humanity in the games proves his entire worldview wrong.