I have a normal Google Android phone that i noticed runs out of batteries so quickly even if turned off. So I did a quick experiment.
I removed the battery for a few days. Wouldn't you know it, the charge was exactly as I left it, unlike before. Makes you wonder what exactly that phone is doing using power while supposedly turned off.
Agree, 100% confirmed that they can find your location even when phone is off. Whether that "feature" is always activated, or it sends a signal once an hour or something is something I do not know.