Exclusive to the OLED, it has a different wireless chip. From my rough understanding, it supports BLE which lets it stay on while the deck is asleep. Controllers that also support BLE can connect to it and wake the deck up that way.

For LCD decks, I’ve heard of people buying a smart plug and using that to toggle the Dock charger off/on. If you have wake on charge turned on in bios, this will let you remotely wake up the LCD deck from your phone or a home voice assistant.