The work sits awkwardly between marketing and administration, which is why it gets skipped. Give one person the logins and one document the truth; ambiguity is what causes drift, more so after a move or a rebrand. Handled steadily, local citations stop being a project and become a habit.
Getting this right buys better call volume without touching the website at all. The landscape shifts, but the underlying requirement; checkable, canonical data; has not. In most cases, handle the high-authority sources by hand and batch the long tail afterwards.