SU 8084 appears to be all that remains of a larger pillar (or support of some kind) intended to support some kind of roofing or cover for Rooms I-8 and I-9. It belongs to the latest phase, after wall 8093/8094 had been flattened and the mortared leveling deposit/floor preparation 8092 had been installed, as 8084 clearly covers 8092 on the east and floor 8083 on the west.