Last grand final appearance for current sides in the NRL:
2005 Wests Tigers, North QLD Cowboys
2004 Sydney Roosters, Bulldogs
2003 Penrith Panthers
2002 Warriors
2001 Newcastle Knights, Parramatta Eels
2000 Brisbane Broncos
1999 Melbourne Storm, St.George/Illawarra Dragons
1998
1997 Cronulla Sharks, Manly Sea Eagles
1996
1995
1994 Canberra Raiders
1993
1992
1991
1990
1989 Balmain Tigers
1988
1987
1986
1985
1984
1983
1982
1981 Newtown Jets
1980
1979
1978
1977
1976
1975
1974
1973
1972
1971 South Sydney Rabbitohs
This diagram is to scale !!!!!!!!
The only teams from modern history that fared worse were the Steelers (never appeared in a grand final), Wests (1963) and Norths (1943), as well as of course the Superleague teams such as Adelaide and Hunter along with other sides from the period that have come and gone like the Gold Coast, Western Reds and Crushers. And quite rightly all those sides are either gone or have merged (with one coming back next year - having 100% earned the right).
To me, that sums up where the Rabbitohs currently sit in the competition. There might not necessarily be a direct link between the amount of time between drinks but in terms of how anchored to the bottom I see the club it pretty well shows spot on where the Rabbitohs are compared to the rest of the competition IMO.