The MCF that you refers to is a nonparametric estimate of the mean cumulative function (MCF), which appears as a staircase.
The smooth curves for the model that you fit with scale/shape parameters are parametric estimate of the mean cumulative function, conditioning on a single discrete effect. Smooth curves are only overlaid in MCF plot if your model has no effects or just a single discrete effect in Scale Effects. Parametric MCF is a smoothing curve, it cannot be represented in a table. You may also find fitted curve in the Profiler of the fitted model. See this screenshot:
At the moment, there are no legends to identify the colors and their corresponding effect levels in MCF overlay.
Meanwhile, I see that the plot can overlay fitted curves from all fitted models. Some model may use effect A, another may use effect B. It becomes confusing quite quickly.
Seems that you are interested in comparing among individual units (systems, vehicles, etc.), not a fleet. If so, in the launch dialog, put unit ID not only in "System ID", but also in "Grouping". By such, you should see nonparametric MCFs are produced for individual units. Upon fitting a parametric model, add unit ID to both scale and shape effects. Fitted model should produce smooth curves and the colors should match nonparametric MCF colors. By adding unit ID to both scale and effects, it is practically fitting the parametric model by unit ID. By such, you can compare nonparametric MCF and parametric MCF by unit ID.