> _I think this is the current problem with mobile web apps today; too many are trying to feel native. Instead try to make it feel smooth and responsive, as a web app._

I think this is exactly what OP has done. It doesn't feel "native" to iOS to me, but it does feel like a well-made little web app. I don't have an Android device to test it on, but it does seem like it would fit in just fine on one.