What? I have many many many monthly bills that are not iPhone apps. My gas bill may or may not have an iOS app, but I'm sure as hell not confused and angry if it doesn't.
Your gas bill is probably charged and billed directly by the gas supplier.
People get confused very easily when small digital subscriptions are charged through third parties on behalf of sellers whose name is often different from the app or service.
I'm not sure a shop app fixes that though. Better communication and better choice of names seems far more important.