Fractional difference of aperture statistics measurement ⟨𝒩^a𝒩^bℳ⟩_meas (points) and modified aperture statistics model ⟨𝒩^a𝒩^bℳ⟩_mod(lines) to the original model ⟨𝒩^a𝒩^bℳ⟩ for red-red lens pairs (left) and blue-blue lens pairs (right) in the MS. The original model assumes a Poissonian satellite distribution, while the modified model uses the directly measured distribution of satellite galaxies.