[FirmwareBurner]

>Windows can wake itself from hibernate.

You're confusing that with sleep. Windows can't wake itself from hibernate as the machine is fully powered off, not in some sleep state.

[tredre3]

No, he's right. Windows can wake the computer from total shut down even (S5). It uses RTC alarms: https://en.wikipedia.org/wiki/Real-time_clock_alarm

[FirmwareBurner]

"Can be set to wake up" doesn't mean "will wake up".

[JetSpiegel]

Modern versions wake up out of the box, you need to tinker with them to stop that.