Sorry for your negative experience so far. It's sad, but I believe a lot of this crap is a result of poor leadership. The coach should set the tone of a positive and uplifting environment. As far as a teammate "correcting" other players will almost certainly cause problems.
Players build each other up... Coaches correct.
Golden rule. Always
Absolutely right. Occasionally, there is a player who is so good, and is also a positive person, that they can correct other players and not cause a problem. For the other 99.9% it is corrosive and you're going to be unpopular really fast. More often than not, the player doing the "correcting" can barely tie their own shoes. It never ceases to amaze how teenage girls can say things to each other that would have grown men nose-to-nose, or even throwing punches. If the coach doesn't maintain a firm grip, they'll eat each other alive.