^ This past Monday I got a call from the "District Specialist" assigned to my case and she informed me that the request for a buy-back was not approved. After some debate with her, their stance is that since the problems are intermittent and that I can't provide them with a reproducible scenario, a) they can't fix a problem that they can't see, and b) there is no justification for a buy-back.
I drove the vehicle all of last week and it was completely problem free. And when the bugs in the Intotainment system don't act up, the vehicle is an absolute joy to drive. As I believe dishdude said once before (i.e. maybe in a different thread), the more I drive it the more I like it.
Having had some time to cool down about the whole situation, I've sort of come to the conclusion that the dealer's poor handling of it all was a major factor in the situation blowing up like it did. In the future, I will likely go to a different dealer for my service needs, which kind of sucks because it's out of the way and won't be as convenient. But if it means getting better service for my vehicle, it'll be worth it.
One thing that I've learned during this time is that GM's process for getting the right people involved in these Infotainment issues is broken. As we all know, owner's manuals typically suck and aren't worth the paper they're printed on. The GM Infotainment hotline couldn't answer any of my questions and suggested that I visit my dealer. My dealer proved to be incompetent. And the "District Specialist" assigned to my case said that her group didn't have access to the engineers and subject matter experts for the systems. Thus far, the best help that I've gotten has been through informal channels such as a member on this forum or the GM Social Media folks that monitor one of the Cadillac forums.