Ignorance of the fame and effectiveness of several people on that list says more about your awareness of the current state of the FSF and GNU than it does about those organizations.
Werner Koch led FSFE. Ian Jackson led Debian and SPI. Matt Lee is responsible for many of the FSF's major publicity campaigns. Joshua Gay put together Stallman's book. I don't volunteer any of them or have any knowledge of whether they want to run the project, but any of them easily could.
But, I find the implication hard to accept.
It would be to say that Stallman’s continuing presence is essential to the success of free software; surely a frightening responsibility for any one mortal person to carry through their remaining years!
Free software has had success as a movement. To believe otherwise is to take away more than just Stallman’s position, but his entire contribution to our modern society!
That means there are others who will, and for a fact do already, take care for the well-being of the GNU projects. Not all of these will believe in everything Stallman has said or represents, and things would certainly change without him.
A large and successful movement lives beyond its founder, and grows to challenge the new status quo. If it fails to grow, new movements fill the vacuum.
I don't think it will survive. Rich corporations like Google or Microsoft will continue to fund open source projects when it suits them, while locking out users through the cloud and hardware. Those other supporters will play along, because the corporations are paying their salaries or donating to their projects.
After being embraced, extended and diluted by corporations, software freedom will slide even more into irrelevance.
This also doesn't seem to be a discussion, it's a statement towards Stallman to GTFO.