right so i'm semi-awake so here's my level of enlightenment.
i personally (and this is based off of my experience with symptoms, my research and character traits) believe both haymitch & katniss have some sort of borderline shit (BPD) going on, with katniss’ being a lot more recognizable.
she sees people as either good or bad, there is no in between, just a very much black and white thinking (which is also apart of autism, which many like to headcanon she has.) when she's in what i would see as an episode, she's explosive and hurtful, and later feels herself sting from the consequences. in my head, peeta very much acts as her favorite person — and it is life or death without him, not because of romance necessarily, but rather their equal codependency and tether to similar traumas.
she lashes out at him in a way that i recognize has been very similar to splitting, and furthermore can be induced & aimed at anyone in particular. katniss can be very impulsive, and if not talked down or grounded will carry out risky tasks without thinking beforehand (e.g, the berries, & deciding to go on the false mission in 13.)
in haymitch's case however, i can very much see him having quiet BPD — all the rage and splitting in which would would often be outwards and visible, being turned inwards to himself. we're aware that haymitch has a lot of self destructive tendencies, his alcoholism being one of the prime figures. equally, his isolation and forced solitude from years of built-up trauma is a barrier that could aid his episodes & are of a trait that quiet bpd characterizes.
i think he also has a lot of derealization made worse BY his alcoholism and withdrawal when it appears, and extremely hypervigilant in nature (e.g sleeping with a knife.) his BPD would likely be bought on/coincide with his PTSD from the games, and whether he has a set diagnosis would be what makes him slightly more functional than katniss as he can get a helm on it. (i assume the capitol would diagnose post-games, just to pump their victors with solutions and keep them subdued and out of the image of illness.) i also find that he would (and this is from canon interpretations) have a lot of emotional dysregulation, made clear by dismissive behavior and cynicism, and only exacerbated by his drinking.
all this to say that in my opinion, this is one of the things that make them most alike, and ten times likely to clash because of their personal reactions to each other. while i think haymitch has grown out of black and white thinking (and is able to look between the lines,) katniss has definitely not, and so their definitions of each other differ.
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