The automatic tracking feature and manual sessions initiated from your watch rely on the accelerometer for motion detection, not a microphone. As a result, this data can't be tracked using these methods.
If you encounter the message "Requires premium and tracking using the app on iOS" on your watch while trying to access data for Ambient Noise, Respiratory rate, or Breathing disruption, it indicates the limitation of soundtracking on the watch.
To have this data visible on both the app and your watch, you need to start the session from your phone instead of from the watch.