I spoke with the previous owner of the car at lunch today (we work together at an RF engineering company). Turns out the gas gauge exhibited the common symptoms I read about in the forum (i.e. - indicating lower than full with a full tank) before it died altogether. He also said that for a couple of days after an unrelated service at the dealer, it worked normally. It then returned to the common failure mode for a while before eventually dying.
In addition to poor low temperature stability, one of the disadvantages of aluminum electrolytic capacitors is the finite capacitor life due to breakdown and degradation of the electrolyte. We theorized that the degraded electrolyte within the caps may have been temporarily restored to a functional state and then failed after encountering a succession of mechanical shocks or vibrations.
He had received an estimate to repair the gas gauge, but figured the cost was greater than the inconvenience. He is an excellent engineer and I commented that it is amusing to me that he makes his living designing, troubleshooting, and otherwise working with electronics but chose to live without a gas gauge and an intermittently blacked out climate control LCD when the fixes were well within his capabilities. He really dislikes working on cars, no matter the nature of the repair, so he never researched DIY repair of these minor problems. Otherwise, he was good about keeping up with the maintenance on the car, but always paid someone else to do it.
At any rate, this new information is encouraging to me in that the problem will very likely be solved with the replacement solid tantalum caps. I'm hoping the LCD on the climate control module is not too far gone to be corrected with new caps (it's only partially dark in cooler weather). johnls400 seemed to think that the LCD issue is cap related.
This weekend I'll download the instructions and tackle these two if I can squeeze in some time.
Many thanks to all of you for your input.