Constant power in IS constant power in - as long as the battery's connected, it has power.
The line you're looking for, if I understand you correctly, is INTERNAL to the switch.
But if it helps any ... here's the diagram for a 2000 Alero for the hazard light switch:
http://www.philent.biz/images/2000_A...ard_Switch.PDF
From this, you can see that what you're wanting to do (from what you're describing) is handled internally to the switch. And therefore isn't available to you. You'll find on a lot of newer cars, if it's not internal to the hazard switch, it's done by the ECU, so STILL isn't available to you.
RwP