The device is not turned off. The TV is, but power is not removed from the ROKU. If I have been playing netflix, appletv, prime, etc and pause the show, turn off the tv, and not power off the roku, i will come back later and find it's gone home.
With Spectrum, i'm not pushing pause, and only turning off the TV. It still goes home. I don't know how long it takes, because the tv is not on again for about 23 hours.