Has anyone ever considered refining the label of Artificial Intelligence into different and intersecting labels:

• Human-made Intelligence (HMI) is a machine or system that is deemed intelligent and is originated by human with the intent of it being intelligent.
• Nature-made Intelligence (NMI) is a machine or system that is significantly influenced by the occurrences of nature that are not through human intelligence.

Most machine learning system could be considered HMI but after it learns from or interact with the world outside of human influence sufficiently, the learned intelligence will needs to be considered as NMI as well.

Another example would be evolved algorithms. The randomness explicitly used by the evolving machinery is uncontrollable by humans, therefore an evolving program is HMI but an evolved intelligence is also NMI.