There is going to be a time when you need to run the power supply without the motherboard.
Example: when you want to test to see if the power supply is bad, or just testing fans and other gadgets.
Most circuits provide about a watt or less. And then there is the main power such as +12v, -12v, +5v, -5v, +3.3v and ground,zero v. You can mix and match combinations to achieve Voltages of: 1.7, 3.3, 5, 7, 8.7, 8.8, 12, 15.3, 17, and even 24 volts. And only the +12v and +5v Provide meaningful current.
You can fire up the ATX power supply by shorting the Green wire with any Black Ground, Remembering an ATX Pwrs. will not fire up normally without a mother board.This is why it is necessary to jumper it off.