That's not a pause button. I can't imagine any use (other than in the infotainment system) for a pause button in a car. That turns on your inverter and supplies 120V electrical power to an outlet. In ours, the outlets are located on the front side of the center console.
A pause button to stop time would be fantastic in a Jeep.
If you ever get in a really knarly situation Off Road just hit
pause. Haha
But I think @Dirtydog has a better explanation for that button.
As mentioned above, its the inverter power button.
What wasn't mentioned is that the inverter is only rated at 150W, so there isn't much that it will supply enough power for... quite useless if you ask me.