Usually, Jinx is compared to Harley Quinn – you know, firearms, insanity, sick codependent relationships and all that sort of thing. Jinx in LOL even got the nickname "Harley Queen of Runeterra" (and maybe for the game version it's even fair to some extent, but I still don't like it).
But to me, Jinx has a lot more of the Joker in it. And it's not about the madness itself or the love of sophisticated and spectacular traps, but in some aspects of the philosophy of his behavior.
In the 2008 film "The Dark Knight", the Joker utters one of his legendary phrases (if you haven't watched the movie or forgot about this fragment, then you can watch it here):
Do I really look like a guy with a plan?
You know what I am? I’m a dog chasing cars. I wouldn’t know what to do with one if I caught it!
You know, I just, do things.
The mob has plans, the cops have plans, Gordon’s got plans.
You know, they’re schemers. Schemers trying to control their little worlds.
I’m not a schemer.
I try to show the schemers how, pathetic, their attempts to control things really are.
And it's actually so much like Jinx.
Do I really look like a guy with a plan?
You know what I am? I’m a dog chasing cars. I wouldn’t know what to do with one if I caught it!
You know, I just, do things.
Interestingly, even in the League of Legends itself, Caitlyn has this voice line when she first meets Jinx: "Is there a point to this madness, Jinx, or is it just a channel for your pain?
Jinx's psychological trauma has become a determining factor for almost all of her actions. It cannot be said that Jinx has no purpose at all in her actions (if we are talking about specific actions like stealing a stone or going to help save Vander), however, globally, among the many important figures like the Piltover Council or Silсo, who have a very clear plan and prospects for its development, but Jinx is really like that dog running after the car. The desire for love and for its mechanical gadgets to work is not a plan per se, but rather it is an unrealized natural human need. Jinx is unpredictable and impulsive – you really can't predict what a girl might do at any given second. Moreover, impulsive action always comes to the fore, and its consequences and causes seem to fade into the background.
This is and the shot at the girl-firelight who looked like Vi, and this is the explosion of a bomb in her hands on the bridge during a fight with Ekko, and the decision to steal a stone after a failed mission with shimmer, and the decision to arrange an ominous "family dinner" in the last episode for Vi, Silco and Caitlyn, rocket launch into the Piltover Council building – all these are impulsive actions caused by a specific trigger. Jinx doesn't know what she will do with the consequences of the action she has committed – she has a trigger and just do the thing.
She, like the Joker, can perfectly cope with thinking through her clever traps and she has succeeded in creating her weapon (as a certain planned actions), and yet "I just do things" is actually always at the center of everything.
The mob has plans, the cops have plans, Gordon’s got plans.
You know, they’re schemers. Schemers trying to control their little worlds.
The Piltover Council has plans. Silo has plans. Ambessa has plans.
Big and Important People have their grand plans and try to control their own worlds. Piltover is busy researching Hextech and developing trade with the help of new technologies, Ambessa is trying to strengthen her position to protect her family and to get her hands on weaponized Hextech, Silсo is trying to achieve independence for Zaun, simultaneously developing the use of shimmer in various directions.
The Main Pieces on the chessboard, protected by pawns, determine the course of a large and intricate game, each in its own world.
I try to show the schemers how, pathetic, their attempts to control things really are.
But there is one hand that just knocks down the entire chessboard, breaking the course of the whole game. From the most important pieces to the small pawns, all plans are destroyed, the whole course of the game is turned upside down.
The kids sneaked into Jayce's apartment to steal something valuable - Oh, the friendly company of Powder, sandwiches and explosive crystals has a surprise for you.
The kids ran to rescue Vander – Hooray, Powder's bomb finally worked!
Silco planned an important shimmer delivery – Well, we know how it all ended.
Firelights trying to sabotage the shimmer supply – Receive backfire.
Piltover decided to use Hextech for his own purposes – Well, you've already lost one stone.
Jayce wanted Jinx arrested – Get ready for war, man.
Vi and Silco wanted to establish a relationship with Jinx – Get a crazy dinner with the whole family at the end.
Piltover has made an important decision regarding the Zaun and using their own technologies – Congratulations! But it's too late, catch the Jinx rocket right in your face.
Jayce and Viktor have come to a final decision about their research the hard way – It's great, but Jinx rocket is still flying at you.
All plans – from small to global – were destroyed. The difference between the Joker and Jinx is that the Joker is well aware that he spoils all the plans of the schemers and consciously assumes the role of someone who shows how pointless all this is and can be destroyed at any moment. Jinx does this unconsciously (but even if she is aware, it is only partially). Jinx doesn't assume the role of an "agent of chaos". Jinx, as the true "jinx", is the very agent of chaos, its source of embodiment and is its natural essence.
Could Piltover control her? — no.
Could Vi and Vander control her? — no.
Could Silco control her? – no (of course, he influenced her as a father figure and mentor, but has Jinx ever been an obedient daughter?)
Primordial and uncontrolled chaos that no one is able to curb.
Schemers can make their plans as much as they want, but there is always someone who will show how ridiculous and pathetic their attempts to control something look.
All plans will eventually be destroyed.