Most replay write-ups open with a score. A candidate model beats the champion on AUC, or lifts repayment by some percentage, or cuts false positives. That framing invites an unanswerable debate, because stakeholders can always ask whether a slightly different metric would have told a different story. The memo that actually moves a decision starts one level up: which business decision changes if this model ships, and who feels the difference.
Write that sentence first, in plain language, with a subject and a verb. "Applications currently declined by the champion rule at a thin-file threshold would instead be declined only when cash-flow evidence also fails." "Chargebacks currently absorbed as fraud losses would instead trigger an automatic hold and a document request." If you cannot write the sentence without an adjective like "better" or "improved," the replay has not yet produced a decision, only a score.
The marketplace policy literature makes this distinction sharply. A decision support framework proposed for real-time bidding marketplaces separates estimation from action, and reports that replay-only, off-policy-evaluation-only, guardrail-only and holdout-only pipelines all selected the same reserve-price policy, yet each would have recommended direct launch from incomplete logged evidence; the full framework selected the same policy but changed the action to online validation, because propensities, bidder response and interference were unresolved (the arXiv decision support study). That is the central lesson for any replay memo: your job is not to pick the winner, it is to state what the evidence licenses you to do with the winner.
A useful discipline is to write the decision statement with its counterfactual attached. Not "we should approve more applicants," but "for the 1,000 applications per month currently declined solely on utilization, this model would approve a fraction, and those approvals carry a specific expected loss." Numbers you do not yet have go in as placeholders labeled as such, so reviewers can see exactly what the replay did and did not establish.



