1 person has responded - the person who clicked the button. If nobody else agrees, then I would say the data stays locked. Otherwise the one person could simply wait for a moment where everyone traveled and had no email access.
Which basically means to say that the entire security of the site is based on the ability of my designates to have my best interests at heart... and also not to have installed a spam filter, moved, changed email or otherwise become unreachable to a service that pretty much becomes forgettable after 6 months or so.
I'd much rather trust myself to manage things, to be honest.