"The jury is not "out" and this is trivially demonstrable. ALL programs of finite length can be produced in a finite amount of time by stupid automata."
"Automata" are intelligently designed programs, not self-formed naturally. Sure, an intelligent designer can build a computer program to write other programs via various methodologies, but that's not "natural" and unaided, rather - that's directed.
Automata is irrelevant, though my example was still valid. Replace "automata" with "random noise source" and it is just as true.