No George the 3.7 thankfully doesn't have the extra complexity of the oil filter heater/cooler fitted to what appears to be just S1 and S2 3.0 Roadsters, given three engine variants used.

As intimated I have written and recently updated an explanation of the coolant system unique to the Cyclone engine in the 3.7 V6 Roadster, based on observations and much thought about my own car, if anyone is interested?