Cannot wake up MacBook Pro display using the "Wake on LAN" feature

I am trying to use the "Wake on LAN" feature to remotely turn on the display of my MacBook Pro running Catalina. **I have confirmed that "WoL" feature is working properly and the MBP awakes** into some state, however the display never turns on. Neither the laptop display nor the HDMI connected display light up. I have tried several things already: - Changing macOS config to darkwake=0, i.e. https://www.insanelymac.com/forum/topic/342002-darkwake-on-macos-catalina-boot-args-darkwake8-darkwake10-are-obsolete/ . The change of this setting didn't do anything - Using sleepwatcher https://formulae.brew.sh/formula/sleepwatcher . The sleepwatcher script only runs when I physically push a button on the computer. Any ideas what else I can try to make this work? **UPDATE**: Seems like the only way to wake the display up is using SSH commands sent to the Mac, see detailed answer below.