Neither of these logos are very simple in design but they're complete opposites in color. The Red Wings logo is rather monochrome while the Predators logo just goes nuts with color. Ultimately, that will give the Preds the edge here.
I'd imagine any Red-Winged bird would be smart enough to fly up high so as to avoid the Predators on the ground.
Even though I think the Red Wings logo could use some upgrades (think Boston Bruins), it is still very effective and one of the most well-known in all of sports. That has to earn it some credit, right? The reason I'm giving in this point, though, is because it takes that extra step in referencing their home city with the wheel (you know, Motor City) while the Predators does not. And so ends the tournament for the Wings.