The protrusion that you talk about, at least in my vehicle, seems to be a hinge, not a connector.
Perhaps you are talking about the white connecter that I have circled in this photo? It is definitely wired in to the wiring harness, but it is unused and taped in place. I pointed out the cabin air filter as a frame of reference. Didn't have my meter with so I can't say if it's hot or not. Anybody know what it is for? Anybody not in North America, if you have a light for this dash storage compartment (called a "glove box" in the US or sometimes a "cubby hole"), can you see if it is plugged into this connector? That would be sweet if it is the connector for a light.
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