Reading your post, another topic comes to mind. I haven’t seen the exact issue you’re describing discussed elsewhere, but I’ve also only recently started using Alexa myself and haven’t yet done much testing with the doorbell.
In the doorbell’s device settings in the Alexa app, I’ve had Doorbell Press Notifications enabled, and after reading your post I’ve added a couple of routines that should be triggered by the button press. I may set aside some time at some point to do testing and see what happens here since I recently rewired my chime to resolve another Video Doorbell v2 issue.