But no accounting shall be asked from [the carpenters, builders, and masons] for the money that is delivered into their hand, for they deal honestly.
2 Kings 22:7 ESV

Why no accounting from the workmen repairing the Temple? The Levites had already proven themselves unable to resist the temptation to misuse these donations, so it's possible that Josiah was just trying to keep them from interfering and his own accountant from being bogged down with minutia.