What the term should mean
A human in the loop is a person who inspects the output before it has a consequence, and who can stop it. Both halves matter: the inspection, and the authority.
Without the authority, the review is advisory. Advisory review produces the same defects as no review, at a higher cost, because the organisation believes it is covered.
Without the inspection, the authority is a signature. A person approving four hundred items an hour is not inspecting anything, and the numbers on the page will show it later.
So the design question is not whether a human is involved. It is at which decision, with what information, and with how much time.