Happy to answer any questions, this has been a little side project of mine with Swift and Google's Gmail API.
As to why in-app purchase, I wanted people to be able to use it first without payment. In-app purchase has been growing in popularity on the App Stores lately and I think this is why. I also feel it's cleaner not to have two separate versions on the App Store.
But thanks for the feedback, I guess you're right. It's misleading to call it free. I will amend the landing page to make it clearer.
I know at some point they will switch to PubSubHubbub as the preferred way to get notifications.