Experimental test of quantum contextuality

What have we shown so far?Conclusion from the experimentNo HV theory which assigns (for a fixed HV λ) ±1 to the measurementsindependently of the row or column, can explain the experimental data.But...In the experiment, the observables are not perfectly compatibleSo does one need to assign fixed values ±1?Can we still conclude something about HV models based on some reasonableassumptions?Be careful: HV models without any assumptions can never be refuted!As one can always take the experimental data as a HV model or also Bohmian mechanics.