One thing that just struck me while reading through the responses.
Those that smoke primarily NC cigars may give flavor the nod as being more important because they're less used to dealing with construction issues. It's rare to find a NC cigar that doesn't draw well, making it less of a concern.
Those that smoke more CC cigars may give construction a higher priority, simply because it's more common to find draw issues in CC cigars.
At least that's been my experience.
And I certainly can't argue with the Admiral's ass tasting expertise.