Parse Local Data Store as a Replacement for Core Data (iOS) and SQLite (Android)

I am in the process of developing several apps on iOS and Android for which I would like implement a single-user multi-device sync. Parse Local Datastore for iOS and Android seem to be interesting options for storing data locally because they have a built in mechanism to sync data to a backend using saveEventually.

My question is, to what extent can Parse Local Datastore be considered a replacement for Core Data (iOS) or SQLite (Android) for local storage? My apps would probably store several hundred objects each.