My great-aunt, Mildred Trautvetter, passed away on 1 November 2011. I decided to see what versions of the Social Security Death Index contained her entry as of 4:00 pm (more or less) central time today. Here are the results:
SSDI at GenealogyBank--yes.
RootsWeb SSDI
Ancestry.com
FamilySearch--no.
Fold3
Searching the SSDI is free at all these sites. I have memberships at GenealogyBank, Ancestry.com