This is a nice little write up and I kinda feel like the author (sensibly) chose centralization just on a smaller scale. I also think that the algorithm is pretty similar to the og textsecure2[1] protocol signal used (and still uses?) in terms of key generation. It's different in that messages are in a distributed hash table instead of sent through a server and also that there's less cross-verification by chat members, but I'm not sure the author would lose any of their goals by using the signal approach (with distributed storage).
[1] https://signal.org/blog/private-groups/