Recording walk details by Apple watch

Those things are calculated from recordings. Also

Active Energy

Heart Rate

Stand Minutes

Steps

Walking+Running distance

Stand Hours

Double Support Time

Walking Speed

Walking Step Length

Resting Energy

Blood Oxygen

Sound Levels

Heart Rate Variability

Walking Asymmetry

Walking Heart Rate Average

Sleep time, modes

Respiratory Rate

Resting Heart Rate

Mirroring doesn't mean that everything that appears on your phone also appears on your watch. The full iPhone Health app isn't on the watch. Again, the things you're asking about are not things that are measured-- they are things that are calculated from measurements. The watch is way more limited in calculating power and storage than the phone.

I got that list from Health>Summary>Show All Health Data (after Workouts)

The Summary shows the things you pick as your favorites.