That's true. It's a good question.
Maybe the "part of a problem" bit is too melodramatic. Arguably, it doesn't matter much to the running of the club how sensible or outrageously unreasonable posts on online forums about football are, and to demand responsibility from ourselves posting is kind of nonsensical, since the opportunity to be unreasonable is kind of the whole thing.
However
1) it just irks me very much, the lack of self-awareness or of sense of irony when people behind their keyboard
earnestly mouth off about players having to 'take responsibility', being 'spoiled and entitled brats', etc., when these players actually devote their whole life to playing football for our entertainment. They've been doing nothing else since they are kids. It's their whole existence. When they play poor, when their club gets relegated, their actual life is impacted on a massive scale.
While we, when things go wrong, are just in a bad mood as our habitual opportunity to gratuitously make ourselves feel better from other people's work is spoiled. Fans are by definition spoiled and entitled. We want other people to do things for us, and we cheer them on or abuse them for it. Imagine if there were a mob of 50000 people watching your every move in your job, jeering if you, I don't know, type a word wrong, and then millions more would tweet about it?
At the very least we fans should remain self-aware about it.
2) Especially in the age of social media, the feedback loops of public opinions are real and do have an impact. We have the thread about Phil Lynch, CEO of Media, and the guy says exactly how everyday he scans the fan mood on social media and then briefs/instructs the players or their PR team on how to react. And then we have Bruno Fernandes apologizing on Twitter for missing a penalty. I'm not claiming the impact is severe, but it does exist, and thus, to however small an amount, toxicity in the fan social media creeps back into the club.
Now, you could say the fans are just reacting badly to bad stuff from the club. True, but they are also incited by a media and social media architecture that wants to see the world burn for clicks.
Again, just a little sense of proportion, self-awareness, playfulness while being fanatics is needed also from us. Remembering that to us, it's a fecking game, for the players, coaches, staff, it's not just.
Sorry for the essay. Maybe better suited for the mental health thread by
@Mr Pigeon