[StrLght]

You've described what sounds a lot like experimentation: observing how a black box behaves on different inputs. Conducting experiments is closely related to engineering — I don't think anyone would claim different. But engineering is not limited to experimentation alone.

[handfuloflight]

What level of threshold of illustration do you need to reach for it to be properly said that you are drawing?

What's the analogous threshold to say you're engineering?

[StrLght]

Art is subjective. It isn't about checking boxes and counting how many formal criteria it meets.

Engineering is broad, it uses many different methods and techniques. All I am saying is that I wouldn't call someone a mathematician if they can only find the result of 2+2.

[handfuloflight]

You say art is subjective but didn't answer the question: what are the objective criteria that define engineering?