>Could this apparent apathy kill OpenSource as a tool?
It depends on whether project overseer's fully appreciate the change in their status and thus role once they make an open source project's on-going development open to community contributions.
A conscientious overseer would put in place continuity plans and thus try to ensure the survival of their project(s). However, I suspect that currently many, whilst wanting to ensure project continuity, are uncertain about the bests ways of achieving this.
I think that GitHub and others have a role to play and probably need to develop and promote the services they can offer - users with project overseer responsibilities, in this area. In view of CoViD19, I suggest they need to get something up and running within a week or so. Looking at Abandonware's adoption process, a process that utilises the consent of a project's supervisor is trivial.
So a well orchestrated response and some good marketing, CoViD19 might actually benefit some open source projects. Certainly it would beat negotiating your own escrow arrangements with each and every supplier of proprietary code.