Having to install the software is kinda the lowest common denominator in desktop computing, I think bundling it with things would be silly
Edit: you mentioned you used arch. Sunshine is a mainline arch package, so you just install it and then start the systemd service. Can’t imagine it being much easier than that
If you want to remote into the linux box, I recommend sunshine+moonlight. They are designed for “gamuurz” but that just means they are efficient.