
Honestly, I think Lake is really overhated.
I actually like what they're doing with Lake because it's showing her flaws, and since the move she makes massively backfire, I think this one is actually portrayed as a flaw.
Her wanting to stick to her morals even if it means she goes against Rosa and ultimately is the reason the vote was split, is an interesting direction for her character.
And while Lake's beef with Spencer is somewhat petty, it also feels very natural for her character because of how different she is from Spencer. And with the circumstances set up, I think this misplay from her makes complete sense. Rosa's grudge on Natalia is reasonable, but Lake believes that Rosa has become consumed by revenge... Which is exactly what Lake did when she tried to eliminate Spencer.
Lake went to Natalia not because she necessarily likes her. But because she HATES Spencer.
And Lake doesn't necessarily distrust Rosa, but she believes that her quest for revenge has clouded her judgement.
Just like how Lake's quest for revenge has clouded her own judgement.
Lake has not adapted very well to the game, and that is one of her flaws in her strategy and it feeds into her flaws in personality.
Is Lake being a hypocrite here? Yes. She is doing the exact same thing that Rosa is doing. Rosa worked with Spencer wanting to get rid of Nat. And Lake worked with Nat (or a least tried to) wanting to get rid of Spencer, even if it meant destroying her majority.
But I don't mind Lake having this hypocrisy. Because it gives her a character flaw. And flawed characters are infinitely more interesting than a perfect person who can do no wrong. (See Tristan from S4 and how little I care about them for having zero flaws.)
I honestly think this is really good for Lake's character. And I am very happy that she is making the merge, because I have really enjoyed her in this season.