I’m not able to run the “updater” script (“No no update available”) nor a manual update (“Updates between multiple major versions and downgrades are unsupported.”). My guess is that OC 1.0.4.4 is not yet supported by the migration tools?
I ended up starting from scratch, creating a new MySQL database specifically for NextCloud (rather than using the owncloud one), recreating all the users, and reindexing all files. I lost backups of said files, but I’ll live.