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WebDAV export/import lets you write files to (or read them from) a server, but you're correct; OmniOutliner handles this pretty much the same way OmniGraffle does.

A sync feature like OmniFocus has would be a much more complicated affair; it wasn't really something that we could fit in version 1. If you email the support ninjas with info on how you'd like to use this, we can make sure your request gets to the rest of the team so we can think about it for future releases. Hope this helps!