I tested hexahedron’s seki test position on the beta server and the autoscore algorithm seems to adjudicate all group statuses correctly, and consequently the seki detection also properly detects dame properly, including teire (with the caveat that it scores points for dead stones left in seki eyes, as by commonly used server conventions)
… to be compared with hexahedron’s (from manually marked dead stones) …
Edit: on a 2nd look I do spot a teire around D9 which is not marked dame in both cases, although it does mark the teire at L8.
But it seems this is intentional: