The poll is supposed to be favo(u)rite bands, right? So it's heartening that 50+ years on, many folks are still listening to the Beatles regularly because they're a favo(u)rite artist.
Of course, that probably isn't true, in part because so many (nearly all) of their tunes are ingrained into the heads of (white) people of a certain generation, that at some point they become stale. Even the Beatles. I suspect being "the greatest" or the "most influential" got muddied with "favo(u)rite" for many voters.
For me, great as they were, and as much as I like Rubber Soul and onwards, The Beatles were inconsistent. There isn't a album of their that doesn't contain either drug-addled noodling, throwaways, or (in the early days) pasty love songs. But they could do whatever they wanted, because they were The Beatles.
Then there are The Smiths, about whom Robert Christgau wrote (in his review of
Meat Is Murder) "[I have the] sneaking suspicion that they're less sensitive than they come on -- passive-aggressive, the pathology is called, and it begs for a belt in the chops. Only the guitar hook of 'How Soon Is Now,' stuck on by their meddling U.S. label, spoils the otherwise pristine fecklessness of this prize-winning U.K. LP. Remember what the Residents say: 'Hitler was a vegetarian.' "
As a lover of Christgau (and beloved local San Fran Beefheartian lunatics the Residents), I think he has a point, though he liked their later stuff better, and so do I. But Christgau missed how unique their guitar sound was, and how good Morrissey's lyrics were I think. As a synthpop backlash, which some of you have pointed out, it was exceedingly fresh, and they've left a trail of well-crafted songs. Just because Morrissey is one of music's biggest douchebags (and not even Smiths fans can argue that) doesn't mean he didn't help pen some great tunes.
So I think in the end the order makes a lot of sense.
@RobMCFC this was a lot of fun -- thanks for the great thread and all the work!