Well, what about wildcard certificates?
* Without SNI you know - guy A spoke to guy B, who is say facebook.
* With SNI you know - guy A spoke to guy B, who is facebook, and asked for myfavouriteuniquepics.facebook.com.
SNI may reveal some information.
Re:Dissecting the SSL handshake
by AjithAntony on Monday June 18, 2012 @07:04PM
(#4129045)
One certificate per IP.
Whether the from SNI or the cert itself, there could be a lot of info to be learned about what the user was trying to access.
Without SNI you can only have one domain name per IP so that security consideration is not really an issue.