Nope- a quiz won't be toasted simply because it's unpopular! After all, some pretty ho-hum quizzes are popular ("Guess What??? Another "Friends" Quiz!!!") while some pretty cool quizzes get ignored.
A quiz may disappear if it gets a correction notice, goes uncorrected, and gets pulled offline. It then goes into an area called "The Abyss," which editors periodically clear. Usually, for example, in my categories, if a quiz goes uncorrected for 3 months, it gets toasted. It does happen occadsionally that someone disappears from Quizzyland for awhile, returns, and finds that a quiz has disappeared for this reason.
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Senior Editor and Site Administrator
"I'd rather make one dog happy than please all the dogmatists in the world."
P. Z. Myers