Theoretically the humans would win one every so often because sometimes humans "zig" when AI can only "zag"? It's like scientific calculators doing math way more quickly than any human on earth, but they are not necessarily better at it. I don't know, it's a brave new world and you may be right.

Do you really think your parents created the entirety of what constitutes "you"?

It's not logically equivalent at all, a child learns on its own without parents, or through all kinds of other influences. In addition, if your parents actually knew how to make a human, they would be able to exactly replicate a previous human they created. But this is absolutely impossible, even with genetic clones, as no human actually has any idea how to get another human to be exactly the same as another.

In contrast, someone (or a collection of humans) understands completely how the best Go engine works. They can perfectly replicate the current Go engine by writing the same code again. The Go engine is a product solely by the human mind and, if the code were lost, can be remade by applying the same principles.

"Creating a human" is nothing any human has ever done. Humans have been created by million of years of evolution. In this context, if you want logical equivalency, "nature/universal laws" (or if you're so inclined, "god") would be the equivalent representation of what humans are to a Go engine.