Yes, that is correct.
Also, I wrote: "I get the same results when I measure the right side."
Supposed to be "I get the same results when I measure the left side."
Yes, I have.
I measured the resistance from the back of the connector to the pins of the bulb when the bulb was inserted in the connector and got ~0 Ω. So there should be a connection.
I tried removing and reinserting the bulb into the connector several times (sort of rubbing it back and forth) to scrape away any corrosion and make contact but that didn't help either.
I've tried to find a wiring diagram for the specific model but haven't had any luck, so I don't know if there is anything hidden somewhere that I haven't found.