It's probably illegal too, as in many jurisdiction the public, or at least a health/food regulatory body should know the process and ingredients.
Take into account allergens, and on top of a matter of public knowledge and health, it can also be a matter of life and death.
It's like saying "Linux uses C" and now you instantly can copy Linux =)
It does however play a hugely important role in a recipe, in a way than the choice of language doesn't play in a program (especially considering turing completeness). So the analogy is broken.
Besides nobody made the point that list of ingredients makes a recipe.
Just that it's important to know the list of ingredients for a food you're gonna eat, and that it's even illegal to not disclose them (either to the public or a regulatory body) if you sell food.
Apologies if the parent comment was edited after you wrote yours but a "process and ingredients" does a recipe make.