Your video doesn't show a Raspberry Pi4. The Pi4 has 2 mini-HDMI ports, not 1 full HDMI one.
Try using the Raspberry Pi3 image and write it on the sd card.
EDIT: if you were sold a Pi4 + case, you got scammed.
@mitu .xsessionrc doesn't seem to execute. Does it need to be chmod +x? I've got the game up on the screen now, and when I do ps ax I don't see the xboxdrv process... and it's not showing in the /dev/shm files either.
The XINIT: prefix seems to work though, it will still bring up the game at least as well as it did before.