Even without Kariya, they have a lot more firepower than us. It is a bit of a break. I don't think you'd find anyone, even here that thinks that Edmonton is favoured to win this one. That's not saying a lot of us aren't blindly optimistic and predicting a win.
All other things being equal, the Avs are better with Kariya than without him. Or put another way, Selanne-Sakic-Kariya is a better line than Selanne-Sakic-Konowalchuk. So in that sense, the Oilers are in fact catching a bit of a break.