While true that it's hard for EA to even get the between-the-lines game right, I think it means they (or if anyone else ever gets to make an NFL game again) need to step up their game, not that we gamers should lose on options.
As for the question, yes, I think they should be in the game. They are part of the sport, just like injuries. And, like injuries, there should be a setting/toggle so that the gamer can turn them up/down/off at their whim.
At the minimum, put in a way to "manually injure" a player and put it as an "injury". That way, a player can either come up with a way to determine it, or follow any suspensions that occur in real life even if the game itself never generates any.
After all, some suspensions occur as a result of on-field behavior, even if you want to limit it to just what happens on game day.