Theymos would never auction this forum. I think this form will be taken care by the siblings of theymos. As with all the business, their ownership is never transferred to the external shareholders.
He must have already passed the half of the private keys to his next of kin. Always on standby in case something happens

It makes no sense to turn Bitcointalk into theymos' "family business". As for private keys: there are forum treasurers in place to ensure financial security for the forum. Theymos holds at least 750 Bitcoin, the treasurers share access to 500 Bitcoin. That's enough to fund the forum for a very long time.
Passing on half the private keys makes no sense. As for the forum's database: I assume [urlhttps://bitcointalk.org/index.php?action=profile;u=78147]Cyrus[/url] has access.