The posts have been moved to this new thread.
the difference between switches is the shape of the cut out.
If your aim is to avoid programming, I would just use the existing wiring and and install a high beam cutout relay and a momentary switch. As was discussed the yellow wire activates the relay.
Easier to use the existing fuse and relay if you are already willing to mess with the fuse box.
A VOM or test light would verify which wires are already connected. You have a schematic and evidently some knowledge.
in the factory setup the switch sends ground to the BCM then the BCM sends a 12V + to the relay on the yellow wire.
The simplest ,but not legal, way is to insert a relay in place of the BCM or wire the switch to voltage. To be legal you need to cut the high beams off.
fogschematic.pdf

 

I want to run independent wires to the switch. However, I do not want the fog light to be able to turn on unless the headlights are one. Where do I connect?

 

If this is a 2006 tap into the low beam circuit with a relay. That would enable only when low beams are on, satisfying the law about high beams.
Look at the headlight circuit.

Low beam relay output to your switch that energizes a relay with separate supply to turn the fogs on.

 

Post #5 has a schematic of the lo beam wiring

https://www.chevyhhr.net/forums/gene...em-help-59595/

 

That is not for a 2006.

I would use 1, 2 or 3 in that order to activate a power relay.

 

The low beam wires are the same all years, the drl are 2006 specific