I know that Battery Video Doorbell isn’t explicitly mentioned in this topic’s tags, but I noticed earlier today that the Android Wyze app (as of App Version 3.10.5.749, Plugin Version 3.10.0.5, Battery Video Doorbell Firmware Version 1.0.0.2083) shows a Doorbell Volume line in its Settings, and tapping that shows a screen with a 7-position slider. Apparently it defaults at 6 but can be adjusted down to 0, effectively muting the ding-dong sound that comes from the device itself.
I don’t have any of the other battery-powered doorbell models (Video Doorbell Pro, Duo Cam Doorbell), so I can’t speak to those, and I’m not sure why Wyze hasn’t seemed to announce the availability of this feature, but it worked when I tested it (at volumes 0, 1, and 6) on Battery Video Doorbell, so that seems like at least some progress with this request.