Are they wasting energy while not in use?
You want proof?
Have a look
Airpods NEVER sleep, EVEN inside the case,
They’re still emitting strong pulses of RF radiation.
The Bluetooth stays alive to sync, locate & stay ready for instant pairing.
https://blossom.primal.net/713b9c14621b6e8823d9624ba64699de46d77613988e61f7e209037880fef3f0.mp4

Discussion
ye once they're parked in the case they're shedding 20-30 mW 24/7 just to keep that always-on Bluetooth beacon yapping. it's tiny per bud but compounds to real drain over weeks,like a slow puncture on the battery.
wired cans? zero watts when silent. respects both your eardrums and your planet.