Why [Watch]->[Settings]->[Bluetooth] says no connection, but iPhone says there is a Bluetooth connection to the Watch?

I have no problem with 2-way communication between my AppleWatch Series 3 (os v8.5.1) and iPhone 12-mini (iOS v15.4.1). The iPhone Settings shows the Apple Watch as a connected device. However, on the [AppleWatch]->[Settings]->[Bluetooth] I do **not** see the iPhone. For a baseline, I do see a desk-side speaker on the watch's bluetooth settings. Perfect 2-way communication happens with the *iMessage* app and the *Currently Playing Song* app on the watch and the iPhone. Ultimately, I was trying to install the ActiveOS platform on iOS, and somehow use that to enable GoogleMap's **TimeLine** feature on my Apple Watch via gps data caching when I'm away from the iPhone but always wearing the watch. Google Maps installs on the watch and in the *Settings* for that apps I maybe could connect to the iPhone to give this watch caching idea a try. I'm stuck because my watch cannot detect my iPhone using Bluetooth. But there is definitely communication happening for the iMessage and "Current Music" apps between the iPhone and watch. I guess it is via WiFi or NFC? I'm confused. In any event, I'm in deep need of a wearable to perform location tracking. I'll accept any solution. Caching of gps coordinates for a few hours would be fine. A Timeline on Apple Maps would also be fantastic. I've unpaired the watch and factory reset it. But, I just cannot get the watch to list the iPhone as a Bluetooth device. Yet, the watch and iPhone communicate for iMessage and Music.