Control what you can control; performing Kolmogorov-Smirnov tests is a technical procedure, not a concretization in itself.
These tests measure distributional similarity, but their usefulness depends on the relevance of reference data.
If benchmarks are not adapted to the specific context, such as applying American indices to Hong Kong funds, the results are pure noise.
It is imperative to validate the quality of inputs to maintain rigorous compliance discipline.
For example, using a global benchmark for portfolios focused on China via Stock Connect does not realize any valid local reality.