As a final note, I've changed the two scripts from Mark and imex to read:
SELECT COUNT(DISTINCT t2.DID) (Mark's script)
AND
select COUNT(DISTINCT d.DID) (imex's script)
This gives me either no rows or a 1, indicating that either the LitHoldDetailsID (DID) doesn't or does meet the requirement, respectively. There's really no difference except that it is closer to a Boolean result which closer to how I'm conceptualizing this problem, as a yes-no question. It's all good. Thanks so much, everyone. 🙂