That's the thing though, there are plenty of other artists who are name dropped as influences just as often as the VU but who don't have nearly the culture of mythology around them. I won't name them now because I get the idea that we're not supposed to be talking about artists that haven't been drafted yet. I'm sure you're aware of who some of them are though.
I also don’t agree that what they were doing was all that unique or innovative musically. Songs like Sunday Morning, Run Run Run, Venus in Furs, etc. used fairly pedestrian chord progressions that weren’t too far removed from the styles that were popular at the time.
I’ll admit that their noisy, lo-fi approach was somewhat unique at the time and that it’s certainly been influential, even decades later. I’m in the camp that thinks their influence in that regard inspired more bad music than good, though. The movement, if you want to call it that which they started would later morph into the punk movement and part of the punk ethos has always seemed to be putting a greater emphasis on things like attitude, lyrics, rough production, etc. than on creating things that are complex or compelling on a purely musical level. That's why I'm not much of a punk fan overall.
I should also add that overall, influence counts for very little to me. I certainly acknowledge when a band is influential, and the VU were, but I don’t think that anything like an influential music = good music correlation exists. I also don’t see influence as being transitive. In other words if band A influenced band B and band B influenced band C, I don’t think that amounts to band C being influenced by band A, though many folks approach it that way and I can see the reasoning there.