No alerts for Ring Doorbell 2 offline or low battery

I've had a Doorbell 2 for almost 3 years. It is entirely battery-powered. Most of the time I receive an alert when the battery is low -- it used to be via email, more recently the alert has come as a notification from the app. But every once in a while, I don't receive any notification at all. Unfortunately, it's usually several days before I realize the doorbell isn't working. There doesn't seem to be any rhyme or reason for when I receive notifications and when I don't. It would be nice if the notifications were reliable, and if Ring could send an alert when there's been no signal from the doorbell for some period of time. Has anyone else experienced this intermittent low battery notification issue? Is there anything that can be done about it?