Yes, you can sync any of your databases with any of our sync methods. There is no sync-limiting factor in a database, except for having an unhealthy database. And, beyond the inherent weaknesses of a remote sync option, the limitation of a sync location would be having sufficient space to contain the sync data.
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Legacy syncs locally and iCloud processes handle the transmission, on its own schedule.
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CloudKit syncs directly to Apple’s servers. However, an initial sync should be done one database at a time. Also, CloudKit has not been a reliable performer for many people (other developers included) for many months.