Hi Del and Laura -
The RKSyncManager implementation was an incomplete pull request that has since been closed and is unmerged.
If you need write-back offline support and expect to find it out of the box, there are not currently any open source solutions available. This actually is not a simple problem, though the desire is obviously common.
RestKit does give you all of the tools you would need to implement such a system, but if you are looking for something turn-key its not available (anywhere). Synchronization is actually a really, really hard problem and no tutorials and small open source libraries lashed together is going to give you a robust solution.
If you really need turn-key synchronization for your app and you are just getting started, I would look at iCloud first. If that is unworkable, I would next recommend learning RestKit in and out and implementing a system on top of it. AFIncrementalStore could also be an interesting option, but it is immature, undocumented, untested and requires knowledge of Core Data that may be intractable for you.
If you go down the road outlined in that tutorial, you are going to be in a world of hurt -- you are buying a metric ton of complexity and engineering problems that you can't even see yet.
RestKit will be offering a turn-key synchronizatio solution at some point in the next few months, but we aren't there yet.