I understood your first post to mean that the white is supplying power to the pigtail, not drawing from it.

Wow, thanks for the insight. That actually makes sense except for problems with the switched white on the single pole. Testing the voltage with a non contact tester shows that the mains power to the single pole switch is coming in from top furthest right 14/3, switching the center-top 14/3 for the light outside. So the white that is capped with the 2 black (all of which where unmarked when I opened the box) is always hot, taking power from the light outside, not supplying it as you suggest. I marked it with tape, but I'm still not 100% sure where it is going.