There is no way that a coolant-heated butterfly could change the induction air temperature by any meaningful amount. It's basic heat transfer stuff - there's just not enough surface area or temperature difference. It doesn't matter how many hp are warming the coolant. If some ice forms on the butterfly it acts as an insulator, so the temperature of the butterfly goes up which melts the ice enough for it to detach. That doesn't need a lot of kw - think of the difference between heating your bedroom with a couple of kw or just using a 100w electric blanket in your bed ....
I'm talking about the physics, not the FAR 23 thing. The Merlin probably wasn't FAR 23 compliant either ..... :-)