Mixing is extremely simplified case of just adding samples together and possibly applying normalization factor. You are trying to way oversimplify the case. This is not representative of typical music production gear or process, from recording of microphone level signals to a final master. Instead add ProTools, typical mixing console, eq, reverb and compression plugins and all other stuff typically part of the process. And run the same process through both analog and digital paths and compare. I can bet Abbey Road or Air Studios don't record and mix in the way you describe in Adobe Audition.
I think it would be already much more representative to compare two of those very popular consoles, 88D (digital) and 88RS (analog/hybrid). Or alternatively SSL
AWS or
Duality vs some ProTools / Pyramix setup. But especially something like the 5088.
But whatever, nobody of the pro music production world cares what we discuss here, one way or the other. I think they may have a point, and ears, in their domain.