They also won world double sculling titles in 2002, 2003 and 2005. They retired after their Beijing victory.
The other shortlisted rowers include American Caryn Davies, who was a two-time Olympic champion and four-time world champion between 2002 and 2012 and stroked Oxford to win the annual women's Boat Race against Cambridge University this month.
The others on the list are Briton Greg Searle, a two-time Olympic champion and five-time world champion; Iztok Cop was the first Olympic medallist for the newly-independent Slovenia at the Barcelona Games of 1992 and bagged another in 2000 with Luka Spik in the double scull and four of his 12 world championship medals were gold; and Italian Rossano Galtarossa, a four-time world champion and four-time Olympic medallist.
No New Zealander has won the medal. Last year's winner was Australian rowing legend Drew Ginn.
The winner will be named in July at the third World Cup regatta in Lucerne, and will receive an 18-carat gold medal.