Ignoring the hilarious amount of insults you litter into this post, you've got a lot of details wrong. If you're doing a sport (and for reference, I used to practice taekwando, so I've got sports practice under my belt), things are definitely different from what you depict it as.
First of all, if you're doing something wrong; you don't get punished for it. You get told what you're doing wrong, how you can improve, and told to improve it. I've had every manner of adjustment - from my teachers pushing my knee up to correct my stance, to being made to go through the motions of something in slow motion a couple times to get it right. Not once have I been given push-ups for doing something poorly.
Second - and this is something less of how you're depicting it and more of what you're ignoring in your depiction; you don't stop in mid-game/mid session to criticise your teammates/other practitioners. Whether you're actually playing a game sport (like football or soccer or whatever) or sparring in a combat sport (like martial arts), you don't just drop what you're doing to try and correct something you see as wrong.
And that's a two-fold thing; first, the obvious of, you're still in the game/match, so stopping to criticise someone is wasting time that could be better used doing your own thing. Second, what you see as something being done wrong may not be seen as wrong by the person you're criticising. You could be totally off on your criticism, and you wouldn't even know.
And that doubly-extends to team-related game sports like football - 'cause guess what. Stopping in the middle of a game to try and correct your teammate screws the rest of your team over, and probably results in animosity between you and your teammates. And that can lead to poor cooperation and/or you getting kicked off the team.
All said, I'm doubtful you have such a greater understanding of sports and the like as you say you do. Regardless, if you want to see improvements, improve yourself. You're the only person you can control. You aren't anyone's coach or teacher, and if people don't want your advice, they don't have to take it.
And as a sidenote; yes, it is possible for criticism to be flame. Constructive criticism isn't flame, but destructive criticism is. Judging by the insults in your post, I'd be willing to bet you err on destructive criticism instead of constructive. In which case - that's criticism you can keep to yourself.
