Implement (smaller) Pairwise hyper cube using only the coordinate and not the entire cube.
Hypercubes are encrypted but not secret shared, additive secret sharing leaks as much as this because the values being summed all are units (0 or 1), and thus the sum actually reveals everything.
Questions are also collected in the open, the values are encrypted, these values are used to generate CSV file on analyst side.
Questions are still collected in MPC using additive secret sharing like before, on analyst side, they are being aggregated and compared against questions in the open, if results are mismatched, an error is logged.