The first paragraph reminded me of the Correspondence principle, which seems close to what you’re looking for (if I’m understanding correctly). The Wikipedia article has an “Other scientific theories” section, indicating it does get used more generally than the quantum->classical correspondence Bohr had in mind (although that section doesn’t have any citations unfortunately). Perhaps it’s worth labeling it “General Correspondence principle” or “Generalized Correspondence principle” in practice, when using it outside of physics.
The first paragraph reminded me of the Correspondence principle, which seems close to what you’re looking for (if I’m understanding correctly). The Wikipedia article has an “Other scientific theories” section, indicating it does get used more generally than the quantum->classical correspondence Bohr had in mind (although that section doesn’t have any citations unfortunately). Perhaps it’s worth labeling it “General Correspondence principle” or “Generalized Correspondence principle” in practice, when using it outside of physics.