For the B777,
STABILIZER CUTTOUT SWITCHES (Both)...................CUTOUT
Do not exceed current airspeed,
are RECALL items in response to the [STABILIZER] EICAS MSG. The associated text describes the condition as - "Uncommanded stabilizer motion detected or stabilizer is inoperative", which would appear to be equivalent to the B767 " Unschedule Stab Trim" message.
Maybe Boeing logic is common across types here, maybe not.