Unless Howard can fill in more blanks, I'd say you have the right citation. The Court of Appeals referred to this very section in Konynenbelt v Flagstar Bank, FSB in 242 Mich App 21. Here's a short summary:
Property - Mortgage - Discharge - Necessity
Within 90 days after a mortgage has been paid or otherwise satisfied and discharged, the mortgagee or his personal representative, successor or assign, must prepare and file a discharge of the mortgage with the register of deeds for the county in which the mortgaged property is located, and must pay the fee for recording the discharge.
MCL 565.41
Going from memory only here, but I'm pretty sure the standard Michigan Freddie / Fannie mortgage requires you to pay the discharge fee - I don't recall whether it specifies 90 days. Still, there's your timing.
By the way, I finished my HMDA report on Thursday. Now I'm doing CRA. You have SO MUCH to look forward to!
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Opinions are Bartman's, not those of my employer. "A noble spirit embiggens the smallest man."