At some point will the app work like an app and not just a web browser list?
Currently only Discourse hosted forums get notifications, I run a community that’s very privacy sensitive and my users don’t want big hosts / business having access to user data - we use a small host Frantech and don’t use Cloudflare / any big providers to handle user information. Any way that could change? Maybe offer it as a small service at low rate?
No, we have no plans to offer Google Play / Apple App Store paid notifications as a service. Also no to your point one, the app is a wrapper around the website that gives “native” notifications and multi-site aggregation services. It is what it is.