Most of the time I have the notifications on my iPhone on silent, so I can stay focused when I'm at work. However, when someone rings my doorbell, I do want to be notified.
I think it would be great if the Ring app would integrate with CallKit on iOS. That way, I can also answer the doorbell using the buttons on my bluetooth headset or even carkit. And that way I get a constant "notification" like a phone call.