I don't believe either model in 2001 had engine oil cooling. The earlier Sevilles(-97) did. The way you can validate this is to check on the passengers side of the radiator for lines attaching to the side tank. If there are none, it has no engine oil cooling. The transmission oil cooler is the one on the left(drivers) side of the radiator. Typically, on earlier years, it was the higher power option(engine code 9) that had oil cooling. Models like the Eldo ETC, STS, and Deville Concours.