Penrose's position boils down to him being uncomfortable with the idea that Gödel's theorems might apply to himself. His books have received criticism from the majority of the academic community and his suggestion for where the non-algorithmic nature of the mind may come from has not seen empirical confirmation. Simply put, it is just wishful thinking.

Regardless, Penrose himself dismisses the role of any supernatural factors; this leaves us open to the possibility that a non-algorithic but nevertheless synthetic intelligence could be created (and in theory wedged into my roomba). Orch-OR does not require 'meat'.