I think the whole premise is based on a faulty assumption: exposure to a thirty year old cartoon is nowhere near as great as you're guessing. I'd say exposure to the Realms through the numerous Infinity and Aurora Engine RPGs, or even to Eberron through Dungeons and Dragons Online, is much greater than the cartoon.
A solid new well-done cartoon on The Hub would be a great way to get D&D into the brainspace of kids, but that old cartoon will be lost on them, and frankly even those who have heard of it probably don't think too highly of it.