I am thinking of using the RA2 Select RF based system. What happens if I lose my internet connection or if my Wi-Fi router stops working?

Lutron’s ClearConnect RF Protocol runs at 868 mHz, and doesn’t use your home’s Wi-Fi or internet for local control. Any cloud based services such as Sonos or voice control wouldn’t work without an internet connection, and you wouldn’t be able to control your home remotely via Lutron’s App, however all your Pico RF Keypads would work, as would any Lutron time clock events programmed in your system. You will still be able to control your home from within your home.