The Blackhawks logo's lack of a defined color scheme is in stark contrast to the blue, copper and red of the Oilers. Just on pure aesthetics, the Oilers is the much better-looking logo.
Chief Black Hawk and and Oiler wouldn't have lived at the same time in history, but if they had, the tomahawk would probably be enough to take out the oil man.
Based on where the teams got their names from, the Blackhawks would be a shoo-in for the point here. I'm not really sure what Oilers has to do with the city of Edmonton, but we already discussed the background of the Blackhawks. For that reason, the 'Hawks get the edge, but really only barely.