Ring Alarm without internet?

I'm thinking of getting Ring Alarm with the Ring Protection Plus plan, but during months-long extended periods away from home we shut down our internet and phone service. Will the cellular backup feature provide me with otherwise full functionality? No cameras, no doorbells. Just the Alarm with sensors, which I assume use exclusively z-wave for connectivity. Can I use the app to check the system status, arm, and disarm? Thanks for your help. Jim