@BeAware This would be nice but it also requires a lot more forethought: The domain is the least important part of a server. It's direct access to everyone's data, being handed to someone the users did not entrust it to.
I sort of wish there was a trustworthy "service" one could hand-off an otherwise-shutting-down instance to in order to keep it alive with clear accountability or something, but if people didn't think about that up front... shutting down might be the "safest" choice.