Electrically, I'm not really sure it matters. Regardless of what side is energized, the circuit won't work until the switch contact is made.
However, with it hooked up in reverse manner, the "appliance" or whatever is being activated, will be energized but not grounded to operate.
Not sure I'd hook it up that way and potentially "become" the ground myself.
Don't you have enough wire to just flip those wires when attaching to achieve the same result?
Here is the same size led switches that should work.
Bob and Better Half
2007 F-250 PSD, SW, CC, LB, 2WD
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