Yes, and I conjecture that the necessary complexity can only be found in 'flesh and blood', i.e. analogue, as opposed to 'on/off' digital approximations. Mathematically the real numbers are unimaginably more numerous than the countable numbers (see Cantor), thus a system with a countable state space (i.e. digital computers) cannot embody the complete complexity of a similar real state space system (i.e. the human brain) regardless of how 'big' you make it. There just aren't enough whole numbers.

I term it the 'Cardinality Barrier', and thus sleep easily through this latest AI 'bloom'.