Can see where taking this vehicle into a Trifecta shop, they can test it, and even find the problem. With mail order service, software just cannot repair a hardware problem.
In working with military self diagnostic systems, a far cry from consumer in that military uses all backup reference systems. Do not have that luxury in consumer quality automotive, have to assume that sensor data is accurate, nothing to compare it with. Best thing one can do is to pull all these sensors, in particular the linear ones and test those against manufacturers specifications. But even that is getting to be impossible because of liability and warranty considerations, they don't want to provide that information. Can buy a hundred such sensors and generate your own mean curve.
Initial timing is a key specification that drastically affects both performance and economy. That also became history with the advent of distributorless ignition systems and the use of fixed crank angle sensors, can install a degree wheel with a pointer to learn what it is, but still no specification and no means to adjust it. Have to take their word for it. In the USA, this method was strictly enforced by our EPA, they don't want you to fool around with your own vehicle.
Really can't say I am impressed with this curve. Only about a 1.7% improvement. As far as the OP is concerned, purchased a broken car, still under warranty, and should get it fixed.