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I replaced my JPI 760 with the new (and much cooler) 960.
Attached is a picture from this past weekend.
As you can see, RE TIT is lower while other temps are slightly higher.
The reason i say its typical is for 2 reasons. First a friend of mine also flies an F Aztec and see's the same situation, and....John Talmidge at Diamond Aire says RE's are just plain hotter.
It's a stretch but perhaps a reason for RE hotter than LE is in the airflow. The TIO540-C1A has the prop control unit in front of the #2 cylinder and significantly covers the air inlet surface area on the side of cylinders 2,4,6.
On the RE, that air inlet is adjacent to the fuselage, while on the LE it is the outboard side of the engine and not subject to air flow disruption/contamination from the fuselage AND blocking the air inlet from the prop control unit. Like i said, its a stretch and a theory.
Otherwise they should operate identically.