Been a few months since I last visited this forum, not much boating at this time of year here in England lol.
I wonder if - While the engine(s) under load the marine manifold gets warm/hot, perhaps not even excessively hot, maybe no hot patches. But then if you come off the throttle suddenly the fuel injected engine goes into over-run mode like a car engine under the same conditions would. There is a difference between over-run with the engine still injecting fuel so still firing and heating the exhaust and an engine that goes into over-run mode and stops injecting fuel thus suddenly stopping heating the exhaust. I don't know but might guess that the marine version isn't supposed to do over-run mode to prevent thermal shock to the marine manifolds. Picking at straws, I don't know if you suddenly come off the throttle or decrease throttle very slowly when the fault occurs.
I think at this point if you're going to persevere (and I don't see what choice you have other than fitting a different engine that uses a different marine manifold) I'd be thinking about fitting multiple temperature sensors to the marine manifold, at least say 5 temp sensors spaced across the length of it. Such temporary setup doesn't need to be very expensive, can buy thermistors for around £1 each and thermal glue them to the manifold, wire them all to the battery via a resistor, wire them all to earth, wire a separate multi-meter to the sensor side of the resistor that connects to battery voltage, then you have 5 separate temp readings. You can buy a cheap multimeter for £10 but you'd need 5. You'd get an idea of multimeter voltage readings versus actual temps by first testing with them wired up to battery voltage in a pan of water as you heat it while monitoring the temperature using any type of thermometer. This would surely show what was happening regards temperature of the manifold.