I am wondering how the Scheduler works and more in particular what the prerequisites are?
I can imagine three cases.
Scheduler runs in a LIFX cloud and sends at events commands to the bulb? In this case an internet connection would be required.
Scheduler runs as a service on the Android or IOS device. The scheduler would in this case require the phone to be turned and maybe even on the same local network.
The Scheduler runs on the bulb itself. In this case no network connection or presence of other devices would be required.