Peter,
Perhaps. There were only 14 winners with a total score that was low enough to do it (-12 or greater), and seven of them blew it in the first round. Six had rounds of 70 and one had a 74 (Tiger had 3 of the 70s and the lone 74).
The chance to do it was lost 3 times in the second round, 3 times in the third round, and 4 times in the fourth round.