This seems different to those examples because it works when the phone is powered off. AFAIK neither pick up nor touching the screen have ever done anything when the phone is powered off, only when it’s asleep.
Yes, exactly. Many of the things I’ve seen mentioned in the comments, such as wake on motion or responding to “hey Siri” are waking from sleep. AFAIK, you can’t power on via motion or hey Siri.
You can wake from sleep via motion, and presumably from the perspective of the AOP, there isn't really a difference between "turn on" and "wake from sleep".