I would call and confirm with the FA depts at schools that don’t ask that question on their NPC.
The $120K trust will be reportable on FAFSA and will be assessed at the student’s asset rate (20%) so will increase SAI by $24,000. For colleges like Williams and MIT that use CSS Profile to calculate a family’s need, they might not assess a trust at all, they might assess it at less than 20%, or they might assess it at something between there.