For a fresh metaphor, ask two separate questions in sequence.
Question A: Can the relevant source and target states coexist in one subject? This supplies the concordant/opposing classification.
Question B: Is the linking feature internal to the meanings of both terms or external? This supplies the classification by the common feature.
With “he flew toward it,” the human's actual running and literal flying are different activities. That fact alone does not decide every taxonomic question. The passage is concerned with rapid traversal as a semantic link, so the two criteria must be considered separately.