Earlier quoted context omitted.
That would actually be pretty frighteningly advanced. Cockroaches seem to understand a lot more about their environment than AI's do at the best of times, and they run a lot of different and diverse "programs".
I think we can probably write a cockroach simulator that would pass a "cockroach turing test". Cockroaches aren't magic, it'd be simple heuristics to emulate something that'd pass as a cockroach to an average person. And with expert domain specific knowledge on cockroaches, we could probably build something sophisticated and very cockroach like. BTW, I'd like anyone to find me a cockroach that can beat Lee Sedol at G…
Reproducing the intelligence of an insect is incredibly more difficult than following a list of rules for a board game. Like I said, the A.I we have today cannot even simulate the brain of a cockroach. In fact we don't even fully understand their brains, how they work and whether or not they even have consciousness. When we do figure it out perhaps we can start building real A.I systems, but until then programs beating humans at board games isn't real A.I - it's just a computer iterating over all of the possible moves and picking the best one.