They need someone who has carried the number before. Someone who can sit in the Board meeting and own the forecast on Tuesday, then be in the billing system on Thursday afternoon working out why the cash didn't land. A consultant would hand you the analysis and go. I stay and do what it says.
That's the whole of it. One operator, two to four days a week, accountable to the CEO and the Board for the finance function and, where the numbers turn out to be an operations problem, for the operation behind it. No bench, no handovers, no junior delivery team learning your business at your expense.
The limit is the same thing as the appeal. One person is not a finance department, and I won't pretend otherwise: I lead the function, build what is missing, and hire or borrow the rest. Where the honest answer is a full-time CFO, I'll say so on the first call and help you write the brief.