Disabling Ring Doorbell 2 announcements on selected Echo devices doesn't seem to work

Hi, In the Alexa App, I go to Settings-\>Device Settings-\>select the name assigned to the Ring doorbell ("Front Door")-\>Announcement Devices. I've unselected two of the Echos -- a 1st Generation Echo and a 1st Generation Echo Dot. The problem is that even though both of these are unselected, I still get Ring announcements (e.g., motion detected) on both of them. I've tried disabling the Ring skill, re-enabling and re-linking to my Ring account but it doesn't seem to make a difference. What do I do?