Though I've officially decided I don't care about the definition of the "RPG" anymore since it is a hopelessly outdated term, I do have some final words on that.
First of all, storyline is a BAD criteria, not just for RPGs but for pretty much any video game. These are games, and the only criteria that should even count are ones that directly involve the mechanics of the games. Storyline does not.
Secondly, I'm of the mind that any criteria which only works if you disregard half the accepted canon of the RPG, is bad criteria. Most of you seem to be saying "I came up with a new criteria, how many games fit it?" When what you should be doing is saying "all these games are considered RPGs, what do they have in common?" and use that as your basis (not to brag, but that's how I arrived at my "Statistics and Exploration" theory).
That being said...
I like that idea.
*Pokes, points at previous post*The only problem with that is coming up with a name for the type of game that Final Fantasy, Phantasy Star, et al are.