What was cooked is a fact. What to make next remains a choice.
Marking a recipe cooked closes the practical loop. Scullery can show when it was last cooked and how often the household has made it. Those are simple records of what happened.
Recipes and To try record different intentions: keep this or try this. Favourite records a stronger preference. Archive removes something from the active cookbook. These signals are useful memories, not interchangeable judgments: a newly kept Recipe may never have been cooked, while recording a cook moves a recipe from To try into Recipes.
The cookbook remembers enough to make the next choice easier without claiming to make that choice for the household.