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I feel a strong need to add to this, my apologies...
No parent is perfect. No situation is perfect, especially the Stilinski family's. I can't imagine the trauma that Noah and Stiles both went through while watching Claudia decline left them unscathed.
Also, Noah is the fucking Sheriff. Time is not really something he has very often. I don't think that any neglect that may or may not have taken place was intentional.
And yeah, it's not like Stiles was an "easy" kid to raise, not that raising any kid is ever easy or simple. The show repeatedly mentions how rambunctious Stiles was as a child - this probably added to his father's stress, but there were no signs of him acting on it. The hallucination at Lydia's party was conjured by Stiles' guilt and fear, not a memory.
Abuse is such a brash leap, what the fuck?
Okay I need to rant
I hate the bad parent sheriff stilinski tag because the way the writers are using it is he's abusive and that's not true at all.
Was he neglectful? Yes but then again he is trying the best parent he can be while doing his job as the sheriff of the town. He is raising a kid who has ADHD while grieving the loss of his wife
However he was NEVER abusive. He never beat Stiles or anything like that.
Rant over