A list of claims is only useful if it can be worked
Reading a draft for accuracy fails for a boring reason: the work is unstructured. You notice a figure on page two, decide to check it later, and by page four you cannot remember which numbers you already confirmed. The matrix removes that bookkeeping. Every claim becomes a row with an identity, a state and a place to put the evidence, so the next decision is always about one row rather than the whole document.
Sorting is what makes it usable on a long piece. Sort by type to do all the statistics in one pass while the calculator is open, then by status to clear whatever is still unverified. Sort by claim text when a client asks whether a specific figure was checked — it is one lookup instead of a re-read.