The only way to know if we got a more accurate sound after modding would be to:
1) Generate a complex waveform using the computer (I never believed in frequency sweep)
2) Connect the output of the DAC directly to the input of the ADC. It does not matter that the ADC is not perfectly accurate, since any recorded sound will have to pass through it. Because we are measuring which is going to give the closest sound to a recorded instrument. And this time our instrument is the DAC. So in both cases of sound reproduction, the sound goes through the DAC once, and goes through the ADC once. The only difference is it goes through which first - ADC then DAC for analogue to analogue, DAC then ADC for digital to digital. So if someway somehow the wrongs of the DAC and the ADC cancel each other out, it's a plus.
3) Compare the waveforms of both the source and the output
But, engineers probably have figured this out already, and all we can do is guess the result. And most of us can probably guess the result.
That maths wins. That always happens in a comparison based on maths.
But does maths always sound better?
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