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I was able to get to the wire using some paint sticks to slightly spread the opening between the bottom of the tail light and the bumper. Then using a flashlight, I was barely able to see the wire and then pull it out using a coat hanger.
I strongly suggest that you look at my above post (#6) for a more permanent and less invasive alternative to yours.
Isn't there a motor back there too. Seems like there's a pop and then you can hear something running. I'll try one and see.
I tested this for you this morning and after the pop sound of the release, there's definitely a whirring sound from a motor doing something. If you don't get the motor sound, that might be your issue.