I was curious what Habryka meant when he said this. Don't non-profits usually have some kind of board oversight? It turns out (from documents filed with the State of California), that Lightcone Infrastructure, which operates LW, is what's known as a sole-member nonprofit, with a 1-3 person board of directors determined by a single person (member), namely Oliver Habryka. (Edit: It looks like this is correct after all, but was unintentional. See Habryka's clarification.)
However, it also looks like the LW domain is owned by MIRI, and MIRI holds the content license (legally the copyright is owned by each contributor and licensed to MIRI for use on LW). So if there was a big enough dispute, MIRI could conceivably find another team to run LW.
I'm not sure who owns the current code for LW, but I would guess it's Lightcone, so MIRI would have to also recreate a codebase for it (or license GreaterWrong's, I guess).
I was initially confused why Lightcone was set up that way (i.e., why was LW handed over to an organization controlled by a single person), but the structure probably makes it more nimble and the risk of Lightcone "going rogue" is mitigated to a large extent by MIRI retaining the option to swap out the team.
Anyway it took me a while to figure all this out, and I thought I'd share it so others would be informed while participating on LW.