Not GP but I like that “organic” implies that it came from a living organism. “Organic content” both carries the idea of specificity of consumption and also the idea that the content was produced by a living organism. The association maps directly onto what OP is referring to.

“Vegetarian” works insofar as it borrows the context of specificity of consumption, but only directly implies consuming non-animal products, which doesn’t map onto the OPs meaning as nicely.

I think it was a mistake to apply a label to the normal, default case of food that comes from living organisms. We should have just called it food. The label should have been "inorganic" or something, for the unnatural, non-default case.

Same for software. We don't need to justify a new "human made" label. Just call that stuff software. They should need to differentiate their "AI made" software with a label.