One sentence: statistical similarity is not proof of operational validity.
The Kolmogorov-Smirnov test measures distances, not cause or robustness.
The parsimony here requires recognizing that similar distributions do not guarantee that the empirical data or underlying assumptions are realistic for reserve management.
For example, KS tests showing distribution similarity for venture capital returns can mask significant tail risks not detected if the reference random model is insufficient, a dangerous simplification for financial stability.