I don't have an ethernet cable where the box is, so WoL is not an option for me either. I could have used something similar to your approach (very smart, by the way!) but decided to go ESP aiming for the most console-like experience of just grabbing the controller and playing your game
Yours seems a bit too eager though! I wouldn't want the thing to start up every time I get home as it turns the projector on, which lowers the projector screen, which blocks the (small) apartment's main entrance when lowered and would make me enter home on my fours ¯\_(ツ)_/¯
Thanks
[0] https://es.aliexpress.com/item/1005009609601844.html
[1] https://es.aliexpress.com/item/1005011847734240.html