I think I do want to solve conflicts. My use case is for a personal database, which simplifies things a bit: sync is between devices of a single person, so it's unlikely for concurrent offline changes to occur.
What I have in mind is a setup like the one from this experiment: https://tonsky.me/blog/crdt-filesync/ . I don't know if it's at all possible in my use case though, or–in case it is possible–if it ends up being practical. As you said, the resulting user experience might be so strange that it's not something users want.
Anyway, thanks again for the info and good luck with DocNode. :)