First a note: FYI, processors are the subject of this thread. Processors don't have power amplifiers.
You are missing the point of the measurements in pure direct and in pure analog configurations. The concept is to isolate the performance of portions of the product. The ASR measurements isolate the basic analog performance and basic digital performance. These measurements are very valuable. If a unit under test has problems in the analog or basic digital modes, those won't somehow magically go away when the equipment is used in more complex ways. Owners of poorly measuring equipment seem at times to make this magical case.
Most of the processors that are measured in ASR have results that range IMO from very good (7), to poor(1), and that is using a very easy grading scale, not against two channel DAC's. None of the products would rate excellent(10). It seems doubtful that many, if any AVP/AVR manufacturers, are overjoyed with the measurement results in ASR.
It will be more difficult to prepare apples-to-apples comparisons between units using sound processing, since the actual details of the digital processing in many of these units is not public, but the data would be interesting. The standards for comparison are also not clear.
Exactly what data should be in the the left surround channel with a stereo input, which in itself can be in many forms, sent to the processor and up-mixed using various forms of Dolby or DTS processing. Is there a standard Dirac test case with established standard outputs?
Since you made these suggestions then perhaps you can supply some of the required data to evaluate the results.