The display is powered by battery voltage, and there are DC-DC converters to lower that to run the logic level cicuitry and to power the serial data port.
With my KT LCD3 display, if the receive data line is broken, the unit can set the PAS levels, but there is no speedometer info, because that's a data packet from the controller. Oddly enough though, the battery icon goes blank, That must be a bug in the display programming, like it need some controller data before it refreshes the icon. Whatever, the battery icon is blank and there's no reason to do that since the LCD3 measures the battery voltage.