I went browser-first on purpose so there's nothing to install and no account, but I'd like to know what a native app would give you? Push notifications is one thing I can think of. This will help me consider this feature in the future.
For your use case, try adding it to your home screen on iOS. Share then Add to Home Screen, and it opens full screen like an app with your last route already loaded and you can do a quick check before rolling out. It's not an app but might satisfy your need until I make progress on the app front. Right now keeping it browser only is deliberate to have less code surface area while in early development. Keep your eyes peeled for a future app though!