Say we discover (somehow) that it's actually impossible to simulate a human-level conscious mind on inorganic substrate. What did we discover?
(e.g. we're running in a simulation, and a resolution limit prematurely halts Moore's Law; etc)
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WRT the Church-Turing (C-T) thesis - either the brain is doing something that could not be modeled by a function and C-T holds, or the function is logical (i.e. not like the halting problem) and C-T breaks. Also, what do you mean by inorganic? We compute with custom DNA molecules
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Yes, it would be interesting if for some reason (unlikely, contradicting what we know of physical law) only biological computers like those you describe can simulate agents we endorse as possessing consciousness.