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The crop kept 3 px of halo, which makes the blur exact inside a box, but the lag-1 correlation also reads the right neighbour's high-pass residual — one column outside the box, still polluted by the crop edge when another box covers it (adjacent boxes are the norm with a step of size/2). The size estimate drifted by ~5e-5 in the parity test; a 4 px halo removes it. The parity test now holds std to 1e-6 and size to 1e-7 (was 5 % for size), and the boxed statistics still cost 1.8 / 3.1 ms at 1080p / 4K.