Not quite the answer to your question, but there are quite a few people looking at doing eventually consistent database syncing with CRDTs. Two interesting ones are:

https://electric-sql.com/ - SQLite and Postgres syncing

https://vlcn.io/ - SQLite syncing

I've been experimenting with Yjs and merging documents in database via SQL, for both SQLite and Postgres. And allowing you to query the contents of those documents, similar to how you can query JSON. Early days, these are just tests:

https://github.com/samwillis/yjs-sqlite-test

https://github.com/samwillis/yjs-pg-test