I'd be very careful about putting any oil in that does not meet the specs Jeep has listed. I'd hate to have them void the warranty due to having the wrong oil in the Jeep. But, I have not hear of that happening yet. Many folks have had this problem with the poor oils that are sold now for a flat tappet engine. Mobil 1 High Mileage full syn oil is a ACEA 3 oil and meets all the criteria for Jeep IIRC. Of course you need to use the approved weight oil. I think a higher volume oil pump would help as well.
2006 Solar Yellow Rubicon Unlimited
Jeep Club Member #1340
6 Speed, Hardtop
Mods done: Hurst tee handle, cheap hand throttle, Rokmen Merc front bumper, Warn 9.5 TI winch with 3/8" X 100 worth of Viking yellow rope, DPG OME Ultimate with JKS ACOS up front, Kilby Gas Tank Skid, Kilby Steering Box Skid, Jeep Medic Belly Up, Skidrow Engine Skid, Rockcrusher Diff Skid in the rear, Warn Diff cover in front, , AR Outlaw II's and MTR 12:50/15's, Homemade rear Bumper, Cheap Cobra CB, Puma OBA, Sirius Radio, Locker Defeat, Rockhard cage, Rockmen short corners, homemade tire swing/tailgate hinge affair, Airlift air bags on the rear- - - - - - and more to come!