Thinking about how similar yet how different Max and Rachel are...
Rachel is obviously destructive and impulsive in some ways, whether it's intentional or not, but so is Max! She does fix things a lot in the game, or at least tries to, but there are various occasions where she can act upon destructive desires mainly thanks to her newfound powers.
For example, she immediately decides to blow up the doorknob to the principal's office when she can't find a key with Chloe and the latter can't pick the lock open. She can also spill Frank's beans onto the ground unprovoked. These are minor examples, but the greatest one of course is the Bae>Bay ending where she quite literally lets a tornado swallow up her entire childhood town to keep her best friend (girlfriend?) from dying.
Her very powers are associated with the chaos theory. She says herself in her dream: "You're a goddam hypocrite. You've left a trail of death and suffering behind you.". She also says later in the game: "I can't keep fixing everything, if all I'm gonna do is just break it, over and over again!" Sure, this is her low self esteem and slight self loathing talking (as well as her having a normal reaction to the awful situation she's been put into), but the words have some merit if you look into them. Her powers, seemingly designed to fix things, seem to just make everything worse or break something else instead.
More under cut.
Meanwhile, Rachel turns a small, controlled burning of a picture into a forest fire. She spikes Victoria's drink on one occasion to keep her role in a play. She throws a bottle near Chloe in a junkyard in anger. She develops a self destructive drug usage habit. I'd argue her relationship with dangerous, older men is self destructive. Her difficulty with communication adds a chaotic element to her and Chloe's relationship (even though she's by far not the only guilty party involved). She breaks a table when her pent up anger towards her father escapes containment. She's associated with fire and the storm. There's obviously nuance to her actions, which is why I mentioned them being intentional or not at the start, but it doesn't erase their destructive or impulsive nature.
Now, I use the terms "destructive" and "impulsive" loosely here. And obviously, most of the examples I provided for Rachel are a lot more extreme than the ones I provided for Max, but I still think I got my point across. They both cause chaos, destruction, and disharmony around them, mostly guided by their feelings and what they consider to be "right" or "wrong", "deserved", "necessary", etc. And if the theory about Rachel being the one to grant Max her powers is true, then destruction links them together even more.
Furthermore, they're both young women onto whom destiny shoves great burdens and seems to play painfully ironic games with: Rachel must maintain her perfect appearance despite her unstable and crumbling sense of identity and freedom and the sudden revelation of her family's past, and she ends up an aspiring model dying horribly in a dark room; Max unlocks super powers out of the blue one day and tried to do good with them, but as she figures them out she ties them (and by consequence, herself) to a deadly approaching tornado without mentioning the extremely traumatic events she goes through in a matter of a week, and ends up having to decide whether to sacrifice an entire town or her closest friend.
And most importantly of all: they are both trapped by or in Arcadia Bay, albeit in differing ways. Rachel's case is more obvious: she's literally, physically trapped due to her family's unwillingness to move and her inability to leave alone, which is especially suffocating for her free spirit, and she's also metaphorically trapped by heavy expectations from everyone around her, feeling like she has no room to define herself.... herself. She's buried in the town's junkyard after years of dreaming of freedom. Max physically leaves/"escapes" Arcadia Bay as a child with her move (though she didn't especially want to), and does go back voluntarily, but is almost immediately chained to the very fate of the place and its people out of nowhere. I'd also argue that her past with Chloe and the guilt she feels because of it also traps a part of her in Arcadia for a long time. And after the ending, no matter what she chooses, Arcadia Bay will never let her go for the rest of her life.
