Arrrg.

"The wing is at 0 degrees aoa and is producing 0 lift."

AND

"Aileron diff does not reverse when you are inverted."

Is not consistent. It's all about the angle of attack relative to the differential ratio (up aileron/down aileron). The angle of attack upright is not the same as inverted but the differential ratio is.

I understand, and agree, with the first part, but the last part lost me. Of course you use the same rudder to counter adverse yaw when inverted but you need a lot more because the aileron differential is actually making the adverse yaw worse when inverted. Again, think about the angle of attack.