Mine's original with the cartridge type filter. The oil cooler looks like a little black can mounted to the top of the oil filter housing. There are two coolant lines coming out on the driver's side (14-700 in the diagram). The gasket is on the bottom of the cooler (my cooler is upside down in the pic).
I would assume that the spin on conversion would result in the original oil cooler mounted on top of the new oil filter housing.