I find the analysis pretty good, though flawed in some aspects and fails to acknowledge that yellow is much less unified than everyone thinks. There is considerable difference between how Foolish, Sneeg, Ros and Zam act and their motivations for opposing green.
Yellow has been at war with green since the beginning. From yellow's perspective, green exists solely because Bad wanted to oppose Foolish.
Due to the nature of roleplay, knowing the intentions of another character is very difficult, therefore leading people to base their decisions and judgements on actions rather than intentions. To Sneeg, who does not know anything about Bad's demonic nature, does it matter that he felt conflicted about killing Ros? She died the same, she was reset the same. And the only two people who could tell him about the specifics of the deal are either physically incapable of doing so or don't remember it.
And it makes perfect sense for Yellow to blame Bad for Foolish's death. First, Owen broke the truce and was banished from the Realm. They can't retaliate against him, and they have to avenge the murder of their king both out of love for him and to not appear weak. They don't know that Bad, Pangi and Owen often have conflicting views about their actions. And does it matter that they disagree on something, if at the end of the day they will support each other with actions?
Foolish's death was a collective green kill. Owen could have never pulled it all by himself, and he has acknowledged it. The whole deal worked because Bad knew Foolish loves being entertained, and gave him a reason to talk to Owen about a secret weapon. If Owen had just introduced the idea of Ros being a traitor and try to convince Foolish to follow him 3K blocks of distance, Foolish would probably go but he definitely would warn others about it. And of course, the reason accepted his execution and didn't up a fight against Owen was because Bad and Pangi showed up. If they hadn't showed up, Foolish would have fought Owen and might have won, considering he was higher level and Foolish isn't a bad PVPer himself.
Zam had reasons to suspect the rest of the green team was involved due to Lukey being pulled by a stasis chamber right in front of Zam shortly before Foolish was murdered. Pangi was also there with them, so that left Bad to have been the guy to pull the stasis chamber. Then Aimsey spilled their beans, and green team's involvement was confirmed.
Yellow is much more unified than green, but they're not as cohesive as they look.
Foolish is a being of chaos. While he is a good leader to yellow and is concerned about the faction's standing, he is prone to doing acts without any other purpose or motivation besides raising hell. Specially when it involves Bad. Such situations include for example killing all of Chip's pets and being chased by Bad, and challenging Bad for a duel even though he knew there were no chances of him winning. These actions often puzzle the other yellow members, and specially in the beginning of the Realm they were skeptical that Bad and Foolish were even friends.
Ros has her own very black-and-white and very hypocritical worldview. She often bases her opinions over kills not on why it was committed, but by whom. If they are committed by someone they deem to be "good", the kill is acceptable. If they are committed by someone who they deem to be "bad", the kill is not acceptable. And of course, she is very loyal to yellow. She will never accept a yellow being murdered, even by a friend from another faction.
Sneeg views himself as the protector of yellow. From the beginning he was always very high level, and felt the need to protect the weaker members from attacks from green and red. As is often commented, Sneeg often fails in this mission, and in each yellow killed he feels even more frustrated and bitter over his impotence. One of the first things to happen after the factions were officially created was the honey farm incident, where Sneeg died to a creeper while chasing Pangi. Since then, Sneeg has been collecting L after L in his quest to protect yellow. He has yet to reach catharsis for all of these failures, after all the only time he managed to kill a green was when he accidentally killed Lukey.
Zam is extremely insecure. On his first day on the server, he watched the man who invited him to the Realm be murdered in front of him. And the guy who killed said man was his best friend, Pangi. He was tormented by Bad from the beginning, even though in Bad's view it was all play and he didn't intend on actually killing Zam. He saw Foolish sacrificing one of his lives for Ros (and trying to sacrifice another for Pili), and that gave him a very positive impression of the king. He quickly befriended the king, and then was adopted by him shortly after being formally inducted in the Kingdom of Fools. So yellow gave him a group where he felt he belonged, while green included the guy he was terrified of, his best friend who had killed Pili, and the guy who was romantically interested in his best friend. Zam's hatred against green comes from feeling personally attacked by it. Green is the faction that killed Ros, his friend, and Foolish, his father. And while Ros' death definitely was more of a BadBoyHalo kill, Foolish's death involved other greens besides just the executor Owen.
I'm not gonna go over other members of yellow who either left or aren't that active (like Clown, Pili2, Tina and Tango) because this post is already enormous. I'm sorry if this answer was annoying and I also apologize if I made any grammatical mistake, English is not my first language. Just wanted to give some more context as someone who mainly watches yellow. The Kingdom of Fools is a faction just as complex as the Honey Badgers, even if they have more defined hierarchy.