[QUOTE=recessiveMeme]
WordMan, as you correctly notice, we disagree fundamentally on the issue of greatness. It seems to me, that in your mind greatness is equivalent to cultural relevance/influence. I won’t try to dissuade you from that view-- but I will make fun of you for thinking that The Backstreet Boys were one of the ‘greatest’ bands in recent history. But then, you also seem to enjoy Jackson Pollock. 
In my mind, greatness is most reasonably ascribed to those such as Vai who have truly “mastered their craft”, or those such as Slash who are so distinctive as to be largely impossible to emulate.
Just out of curiosity, which of these fates has befallen Vai? I don’t think it’s possible to assert that he isn’t “making the music he loves”. Nor can he be said to have “never gone anywhere” with his decade-spanning career, albums, devoted fan base, and collaborations with everyone from Zappa to Alice Cooper to Meat Loaf. I won’t even remark about the “talentless hack” point. In the final analysis, does Vai fail because he isn’t “Top 40” enough? That seems a dubious standard indeed.
As for whether or not 99.9% of people “care”… Apart from being fallacious and somewhat irrelevant in my reckoning-- do you think this is a good standard for determining “great”? There are a lot of people who like a lot of crap. TV ratings indicate that American Idol is essentially better than… well, everything.
I disagree. 
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The Backstreet Boys, as you no doubt well know, come under the category of hacks with corporate backing, or, at best, bubblegum that appeals to a demographic not known for having trained ears.
Vai, to me, comes under the category of “cult icon,” like Buffy the Vampire Slayer, Watchmen, or, in the world of guitarists, Adrian Belew or even Peter Green of the first-gen Fleetwood Mac. For the folks that know about these cult figures, they are famous, iconic and worshipped. To everyone else - even folks who know the genre pretty decently - meh.
My usage of “99.9%” was not to state that the American Idol crowd doesn’t know about Steve Vai, therefore he must not count. Forgive me if that is how it comes across. Allow me to clarify: I know a ton of folks who know music, know why they love that music and can place the music they love in a thoughtful context. Most of those folks simply don’t care about Steve Vai - they know who he is and respect his abilities, but nothing beyond that.
My point is that for someone like Eddie Van Halen, you can be one of those music types who frowns at power-pop/hair metal and therefore snob-out at the mention of Van Halen - but you CAN’T deny his huge footprint in the world of guitar-based popular music and rock. If you are a music snob and confronted with Steve Vai, however, you can step briefly to one side, maybe sniff “hmm, good guitarist” and then go on your way. As most music nuts that I know do.
And what’s the famous line about the Velvet Underground “not many people saw them - but everyone that did started a band.” Again, influence matters - sure Boy Bands or American Idol feels like popularity has completely compromised quality, so there must be a balance. But who has had a greater influence - Johnny Ramone (or a descendent of his like Billie Joe Armstrong - both simple rhythm pluggers) - or Vai, Belew, Steve Howe, etc.?
Look - I own Vai’s Alien Love Secrets, Flex-able and some other one-off tracks and can expound for days on the coolness of the monkey grip routed into Steve’s signature Ibanez Jem - I get it okay? But I’m telling you, he is a guitar-geek’s wet dream and a cult figure to Zappa heads (who are a cult to begin with) and other fans of specific artists. But that’s it.
Disagree away…