Because it can be a "one button power solution" for an arcade machine
Extend the computer's power button to the outside of the cab, and when you press it, the computer powers on, it trips the relay, and everything else turns on as well.
Back when I first did it I used CRT TV's, and I had to "jam" the power button to make it automatically power on when power became available. But the last cab I built had an LCD that automatically powered on without modification.
It's simply convenient on an arcade machine to have one momentary switch to power all of it's components on and off.
Even my home computer has a 3 button start sequence = I turn on the computer, I turn on the monitor, and I turn on the audio amplifier. Likewise 3 buttons to turn it all off.
Here is my originally chapter on the subject in my old tutorial :
http://tinyurl.com/c5drk2zI used to use CRT TV's, and a big lame relay from Radio Shack LOL. I really need to re-do my tutorial.
Anyway, have fun
Criag