Just let's assume the basic tenet is correct - software is a new form of literacy [#]. No I do not believe that people who are functionally or totally illiterate today are useless or should be discriminated against. But the
value that an illiterate person in normal circumstances can deliver is
dramatically reduced compared to the same person but literate.
And I am simply transferring the same intuition about this to software.
If "Google SRE is what you get when you ask a developer to design an ops team" then what do you get when you ask a developer to design a whole corporation. Or a government ministry?
People who can code are not fundamentally superior to everyone else as you say, but they offer different ways to organise as much as people who 300 years ago were literate were not fundamentally superior to the rest of us, but offered different ways to organise.
So here is my simplest idea - as pretty much everything is being eaten by software, then project management should flow entirely from code. How is Project X doing? Ask the codebase.
[#] Bicycles of the mind if you wish. But something important is happening - its beyond telegraphs or telephones in enabling communication between humans.