2005 A4 Air Bag Technical Bulletin 0504

A while back the airbag light on my A4 came on. I took it to the dealer and they said it was caused by a faulty sensor in the rear-view mirror (huh?) and two days later they gave it back to me with the light off. A couple of months later the airbag light came on again. I took it to a different dealership and they immediately said "Oh yeah, there's a tech bulletin on that." When I got the car back, I asked what the deal was that it had come on twice in the first 5000 miles. I was told that it looked like the tech bulletin had been done wrong the first time, that the wrong connector had been applied under the driver's seat, and that as soon as they removed the electrical tape the wire fell out of the connector. So my question is, during the three months between the repairs, when the wrong connector was in place and the wire was held in by tape, did I have a functioning airbag?