There would be two possible diagrams for that sentence, depending on how you understand it.

How about 'The soup that eats like a meal' or a 'pick-pocket'?

You're trying to condemn prescriptivism? What's your point -- some things can't be diagrammed? Who said they could be?

The first one is deliberately "wrong" for advertising effect, like

"Winston tastes good, like a cigarette should." when the correct English is

"Winston tastes good, as a cigarette should."

The ad copywriters liked how it sounded.

> You're trying to condemn prescriptivism?

No, that's a separate discussion. You can use the diagrams for both description and prescription.

> What's your point -- some things can't be diagrammed?

Well, at most that some things can't be diagrammed naively, and perhaps need a more complicated diagram language.

> The first one is deliberately "wrong" for advertising effect, [...]

No, it's perfectly fine. It's called 'middle voice' and is a normal, if relatively rare, feature of English. Your Winston-ad example also seems like your correction makes it less grammatical.