Yet another update.
I took the vehicle to another dealership yesterday. On the way into the dealership the car stumbled several times, dying three times, all three times at speeds below 10 mph and while slowing down for a stop.
At the service desk I asked for the factory certified gasoline engine performance specialist and the service writer said they have three people that fit that description, although they call them "drivability diagnostic specialists" and that one of them would get my job. I also left them with my (now) full page description of symptoms, attempted fixes, and my experience with the other dealership.
The car wouldn't exhibit the problem while hooked up to their scan tool, so they took it out for a test drive. They put on about 20 miles and they did get the vehicle to stumble and even to die out on them one time. However, hooking up the scan tool showed there were no stored codes. They decided to keep the car overnight and attempt to test drive it again from a cold start to warm-up condition, the technique that always seems to work for me. They did that this morning, and got the car to die again after it was warmed up--after about 8 miles of driving. There were no stored codes.
The service writer called me and told me they were going to hook up the Co-Pilot and let me take the vehicle for the weekend. He said they needed to get 2 instances of the vehicle showing the problem. Regardless of how many times I captured a problem with Co-Pilot or how quickly I got the failure he explained they were going to charge me for an hour of shop time, or $107.00 I countered with the idea of leaving it overnight, hooking up the Co-Pilot in the morning and having the drivability specialist take it out for the usual 10-15 minutes that it takes to have the car exhibit the problem, then if they got codes, the car could be repaired and I would have my car back in time for the weekend. I preferred this over driving the thing for three days in lame mode. He agreed to my plan.
Question: The first place I took it to (not a Dodge dealer, but an independent shop) said he had the car fail while hooked up to his scan tool and it didn't get any error codes. Could this happen with the Co-Pilot? Could the car fail and Co-Pilot wouldn't record anything?