Most likely, it's the difference between positive and negative reinforcement. You can't just be negative. I have no problem with coaches that use language. In fact I think it's a part of the game in most major sports.
The question is, does that emotion only come out when things go poorly? To get the buy in of players, if you're an emotional coach, you have to have an equally strong reaction to positive plays, or at least occasionally have that reaction.
I'll give Will Muschamp as an example. It's clear that guy doesn't use clean language, and that's needed, especially for a DC. However, we've all seen the Boom MotherF***er clip on Youtube. That's what I'm talking about as far as positive reaction. His defense did something great, and he was in their faces with his excitement just as much as he is when they screw up.
If you're hard on your players all the time, and you don't reinforce their positive plays with at least some emotion, you'll lose them. Cohen's problem could simply be that he hasn't had a lot of positive going on, but you do run that risk of losing a team if they don't get some positive feedback at some point. I won't use the Orgeron example, but I'll use another one of our coaches, Kennedy, as an example. I think he's harsh all the time with his players with little positive feedback, and for that reason I think his players have tuned him out. They don't enjoy playing for him, and his yelling has little effect on them. That's the fine line you walk as a coach. You have to give some positive feedback if you expect your negative feedback to be able to continue to carry weight.