I doubt there'll be a long term feud. However, I can kind of understand where they're coming from. They've been told since 2011 that "To Boldly Flee" would be the swan song of The Critic, and then not long after they spent two weeks busting their chops with no pay filming the damn thing, does "Demo Reel" fall under and The Critic gets revived.
They'll get over it, Lindsey/Nostalgia Chick assured everyone that they all love Doug. She's actually relieved he's back, because according to her, business has been down by a whole 2/3 ever since Doug retired The Critic.