I haven't worked out which either Richard, but can have a guess what it's meant to do!
I wrote earlier, my Jag diesel has a pipe from water pump to oil filter housing with a thermostat on the top of the pipe.
The housing is finned, so it points to cooling what's in there.
So it opens when the coolant is hot to let water around the filter housing.
So if it's meant to help warm up, it'd be no use as the coolant can't get to it until the thermostat opens.
Also, that little thermostat is iffy and can leak coolant past before it's meant to open, this leads to cooler running and a longer warm up time.
So I'd hazard a guess it's to help cool the oil.