Well Dr. Michael Levin would agree with you in the sense that he ascribes intelligence to any system that can accomplish a goal through multiple pathways. So for instance the single-celled Lacrymaria, lacking a brain or nervous system, can still navigate its environment to find food and fulfill its metabolic needs.
However, I assumed what we're talking about when we discuss AGI is what we'd expect a human to be able to accomplish in the world at our scale. The examples of learning without knowledge you've given, to my mind at least, are a lower level of intelligence that doesn't really approach human level AGI.