That it is systematic implies you can use it to generate insights into things that are causally linked.
Only if the model is accurate. If (as in the case of tarot reading and failed gambling) you have a system that doesn't correspond to the world you will draw conclusions that are detailed and reproducible but not insightful of the world. Inaccurate models are only misleading, not vaguely insightful.
Systematic interaction with a model can be used to learn things about the model whether or not the model is accurate. Otherwise we are in agreement, I think.
Only if the model is accurate. If (as in the case of tarot reading and failed gambling) you have a system that doesn't correspond to the world you will draw conclusions that are detailed and reproducible but not insightful of the world. Inaccurate models are only misleading, not vaguely insightful.