Both logos have very nice eye-catching colors, but the Oilers logo has lost several points for its use of the name. This time won't be any different. The flaming "C" doesn't help them very much either.
Fire and oil do not mix. An Oiler would be lit up by Flames and that would be the end of the story.
As mentioned the flaming "C" of the Flames logo works extremely well and is one of hockey's classic logos. The Oilers logo could be better as I've discussed before and as the Flames proves, sometimes simplicity is what's required for a great team icon.