Not necessarily, even dicks often have the capacity to cooperate with others when it fits their needs. They want to kill the boss as much as anyone else in the party, but as soon as the boss is down they just automatically roll need on everything because 'the lulz'. And then you have people who roll need on downgrades because they look pretty, they have lore value, and so on. There are plenty of scenarios where drama can arise after successfully clearing the raid and each scenario has happened like 10,000 times each. You can tell a problem's serious when Blizz gets off their lazy bottoms to address it directly.
Thinking WoW's storytelling has been shit for a while qualifies you as toxic? In that case, judging by how well SL's story has been received by its playerbase retail will be just as toxic as classic is, if not more.