Is the Retention Diagnostic free?
Every account gets one free run, then it's 1 credit each (free monthly credits cover normal use).
Is the improved-retention LTV a prediction?
No — it's an illustrative scenario, and the tool labels it as one. It shows what a modest retention improvement (e.g. +10 points of repeat rate) would do to LTV arithmetically, so the upside is tangible. It is not a promise that you'll hit that number.
How is LTV calculated?
From your numbers: margin per order (AOV × gross margin) multiplied by expected lifetime purchases, which it derives from your retention signal — average lifespan if you give it, otherwise 1/churn or 1/(1−repeat rate). It shows which basis it used.
What if I only have a repeat rate, not churn?
That's fine — any one retention signal works: repeat rate, churn %, or average lifespan. Give whichever you actually track.