I've just run across this forum and wanted to add my two cents. In this case it was more like $5000.00. Towards the end of November, I too started having a burning oil smell in the passenger compartment. This was for my 2018 CX-5. I brought the car in to my repair shop and they diagnosed it right away as a leaking cylinder head. The car didn't quite have 70K miles on it at the time. The nearest Mazda dealer is 45 minutes from me and I was not about to drive that distance with noxious fumes, so my trust auto repair shop would take care of the repairs. The sent the cylinder head to a machine shop actually close to the Mazda dealership. Before they flattened the head, they did a pressure test and discovered that the cylinder head was flawed at the time of casting the part. So my $4000 repair jumped up to $5000. The repair shop found no recalls, but I went ahead with the repairs. I received my vehicle back on December 11. And then started my phone calls to Mazda.
In all I made 16 phone calls to Mazda, later on adding emails with detailed information about my case. All the customer service reps started with the same song and dance about not using the Mazda dealer repair shop. My argument was two-fold: 1) did they want me to risk my health inhaling those dangerous fumes, and 2) the same machine shop the Mazda dealer would have used determined that that part was incorrectly cast, so it wouldn't matter who did the repairs. The faulty part was the faulty part
Eventually the case was bumped up to a case manager, who took a number of weeks to finally get back to me after multiple calls. I should add that I started keeping a detailed log on a Word document, of who I spoke to, the date, the time, and what was said. This proved invaluable. At the end of January the case manager said that she did not think Mazda would be able to help due to the lack of dealer issue again. I went through my case once more, hitting on those two points above. We were speaking on the phone at this point. She told me she would check with her higher ups to see if they could do anything. Imagine my surprise when later that day I received a call from the case manager telling me that they would cover half of the cost of repair, so $2500. I was thrilled. The car was out of warranty, and yes, this is their fault, but I never really thought they would come through. The check arrived yesterday.
As I told nearly everyone I spoke with, I was never nasty, never cursed, and was very patient. I think that paid off. As did my detailed log that I sent to the case manager.
Mazda really should do a full recall on this issue, but I'm happy to have gotten something out of them.
