
This might be an unpopular opinion, but I don't think Lake is responsible for the fall of his alliance.
Since the last episode, I’ve seen a lot of people holding Lake responsible for the collapse of her alliance, but I don’t think that’s entirely the case.
First of all, I want to clarify something. Lake does bear some responsibility for this elimination. She made a terrible move by wanting to vote out a member of her own alliance and let herself get overwhelmed by her emotions. But it’s easy to understand why Lake made that decision.
Lake is naive. She grew up in a rather terrible family, yet one that provided her with a certain sense of security. Consequently, she didn't face the same struggles as other contestants like Riya or Ellie.
After leaving home, her book became a success if I recall correctly bringing her privileges she doesn't seem to realize she has.
You can see this in her reaction to her elimination in All Stars: she doesn't understand why someone would compromise their principles to advance in the game, because she has never faced that kind of hardship and managed to succeed while staying true to herself. In fact, had she stayed longer in *All Stars*, Lake likely would have acted the same way she does in DC5.
She judges Spencer just as she judged Ellie; she dislikes him because of the way he plays the game.
Lake grew wary of him, especially after Spencer eliminated Bruno who was their ally and part of their alliance believing it was the right move, even though it definitely wasn't.
Spencer weakened their alliance by showing he was capable of lying to them. Consequently, Lake decided to play the game her own way by trying to eliminate Spencer, a move that is understandable. He had already eliminated a member of their alliance, so what was to stop him from doing it again? Even though, in reality, Spencer still wanted to work with Lake.
Lake thinks she has the game figured out, failing to realize that the others are capable of strategic thinking too. She assumes that if she tells Natalia to vote against Spencer, Natalia and her alliance will simply do it showing that Lake doesn't fully grasp the intricacies of the game.
Basically, that’s what I wanted to say sorry if it’s a bit long. Lake doesn't think she can trust Spence who has already betrayed them, something people tend to forget and she tries to play her own game without realizing that the others can play the game too.
Lake is bad at the game, and that’s what the episode was trying to show, if I understood correctly.