Hi there!
Thanks for getting in touch! I’m so sorry for the confusion here–you’re correct in observing that our iCal Importer plugin only supports importing of events from Google Calendar or other ICS-based platforms, and we don’t have any functionality to handle automated two-way syncing at this time. If your project requires two-way syncing of events between a third-party platform and your WordPress site, you might consider taking a look at Eventbrite Tickets, which supports syncing events through Eventbrite’s API.
We’d also welcome any suggestions you might have for future releases over on our feature suggestions forum, if you’d like to see this functionality included in iCal Importer someday. If the lack of this feature at present means that iCal Importer won’t be a good fit, let us know and we’ll be happy to refund your original purchase.
Thanks again, and let me know if you should have any other questions!