It seems clear that just having push notifications is not going to cut it anymore. Please be aware of this when you consider this route. We have just found out the hard way…
From Apple
4. 2 Design: Minimum FunctionalityHello,
Thank you for your reply.
Regarding 4.2, apps that contain features like push notifications and camera and offer an identical experience to a website are not compliant with the App Store Review Guidelines.
To resolve this issue, it would be appropriate to revise your app to incorporate native iOS features or functionality.
We look forward to reviewing your resubmitted app.
Best regards,
App Store Review