Allow notifications to be sent to the phone only and not mirrored to the watch

I'm using HA on a Pixel phone and paired Samsung watch. Samsung uses its own app (Galaxy Wearable) to manage the connection between the phone and watch. Phone apps can be selected individually for notification mirroring on the watch. If the phone and watch both have an app with the same package name, Galaxy Wearable combines them into a single notification toggle (see first image).

For HA, the effect of this unified toggle is that the watch can display either notifications from both the phone app and the watch app, or no notifications at all. For the watch to display notifications sent to notify.mobile_app_watch, it must also display notifications sent to notify.mobile_app_phone.

I would like to send a small number of urgent notifications to the watch without mirroring the higher volume of notifications sent to the phone, which currently is not possible. If it doesn't break anything, I would suggest assigning a different package name to the Wear build of the HA Android app. This would allow a representation like the Alexa app (see second image) in Galaxy Wearable.


Edit: Trimmed images, image order