I'm not sure there's much scientific or mathematical about guessing how a non-deterministic system will behave.
Engineering: "Will the bridge hold? Yes, here's the analysis, backed by solid science."
Pseudo-engineering: "Will the bridge hold? Probably. I'm not really sure; although I have validated the output of my Rube Goldberg machine, which is supposedly an expert in bridges, and it indicates the bridge will be fine. So we'll go with that."
"prompt engineer" or "context engineer" to me sounds a lot closer to "paranormal investigator" than anything else. Even "software engineer" seems like proper engineering in comparison.
Statistics isn't guessing. But it is guessing when the confidence interval is unknowable and constantly shifting. We're not talking relativity, we're talking about throwing pancakes at a wall to tell if there's a person behind it.