So I got the new choke the other day and decided to put it on today.
After installing, it exhibited the exact same symptoms as before - running stupid rich and at high idle. So I decided to replace the connector - the voltage readings I got were hit or miss on the terminal, but were fine at the wire.
Put the new pigtail on, and as soon as I keyed on, the choke closed entirely and now the car won't start at all.
I made sure the fast idle cam (I think it is) was inside the enclosed part of the "tang" of the clock spring, and then rotated back to roughly vertical (so the connector is on the bottom, as my other choke was). Did I need to rotate it more or something? Or is that how it's supposed to be - I do remember the choke plate at cold start being closed prior to all this goofiness (maybe the carb was flooded from it running so rich just a few minutes prior).