I'm not a huge fan (well, not really a fan at all, but they did some good music as well... and for a band so outwardly stupid, they are rather talented, especially DeMaio and Adams), but my guess would be that we've had the lesser stuff so far (and when they miss, they miss hard) and once there's some of the more classic stuff, the results will be somewhat better. Probably not very much, but somewhat.
However, I'm not too sure about that, since some of the songs with the possible biggest crossover appeal (Fighting the World; Black Wind, Fire and Steel, possibly even Power of Thy Sword) are not in the cup.
However, I'm more or less sure I'm going to vote for Achilles, Agony and Ecstasy in Eight Parts, both in the first round and possibly even later. That's a guilty (?) pleasure / black sheep / whatever song if there ever was one.
Manowar doing half-hour retelling of the Illiad with a base solo and two drum solos? There's self-indulgence, there's decadent narcissism and then there's this. And it's actually endearing, somewhat.