Michael Holt, meanwhile, survived a moment of madness before setting up a second round clash with former World and Welsh Open champion Stephen Hendry.
BBC: CHOOSE A SPORT
Burnett's top break was a mere 43 but it proved enough for the world number 54 to book a last-32 showdown with two-time Welsh Open champion Mark Williams.
BBC: SPORT | Other Sport... | Snooker | Angry Stevens crashes in Newport
The seven-times world champion will now face either Trowbridge's Lee, last season's Welsh Open winner, who beat David Roe 5-2.
BBC: Hendry came from behind to beat McCulloch
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