The real question is: could such a site be profitable and respect your privacy?
Personally, I would prefer a non-profit. I can't stand a private company like Facebook being the primary gateway to my social life. I would like to see multiple companies involved, but it would be a lot more difficult to get the network benefits of Facebook with multiple sites.
Is it time to think about it again, or is it just Slashdot and HN posters this time?