That makes good sense. My take is that it will live with either type. Here is some info from Eaton, for both the Truetrac and their conventional posi:
EATON PERFORMANCE DIFFERENTIAL PRODUCT OWNER’S MANUAL !
A quality gear lube per the axle manufacturer's recommendation should be used. ® Detroit Truetrac
High quality mineral or synthetic gear lubes are required for use in Detroit Truetrac differentials.
Regardless of the lube type, always use a GL5 rated lube with the least amount of friction modifier.
Mineral lubes lacking friction modifiers (limited-slip additives) were historically recommended for all Truetrac applications because friction modifiers can slightly reduce the bias ratio (limited-slip aggressiveness) of Truetrac differentials. However, to address the continually increasing power outputs of modern powertrains, many vehicle manufacturers have switched to synthetic lubricants as a counter measure for increased axle temperatures and prolonged service intervals. In general, consult the vehicle owner's manual for the manufacturer's recommendations for lubrication type, weight and fill volume. This will ensure lube compatibility with the seal materials and bearings used in the axle. Eaton Performance technical support is available for any concerns in lube selection.
™ Eaton Posi Quality mineral or synthetic lube with sufficient friction modifier content will ensure the smoothest operating and longest life of your Eaton Posi performance differential.
Eaton recommends GM Dexron LS or Castrol Carbon Mod SAF (Synthetic Axle Fluid) for all
Posi applications. If using non-“LS” gear lube, add four ounces of General Motors “Limited Slip Axle Lubricant Additive” per one-and-a-half quarts of gear lube (GMP/N 88900330/10-4003).
Additional friction modifier additive may be used to reduce LSD plate “chatter,” but do not
exceed eight ounces per one-and-a-half quarts of lube. Other brands of additives may be used.
A friction modifier's purpose is to lower the staticcoefficient of friction (grabbing) within the clutch to
match the dynamic friction (sliding) in an effort to reduce the effects of friction transition (stick, slip,
chatter). Excessive amounts of a friction modifier can lower both friction values, resulting in reduction of bias ratio (performance) for plate-style limited-slip differentials such as the Eaton Posi. Many brand name gear lubes contain some limited-slip friction modifier in their formulation. If you use such a lube, additional friction modifier additives should be used sparingly to avoid accidental over-saturation resulting in performance loss.
24 EATON PERFORMANCE DIFFERENTIAL PRODUCT OWNER’S MANUAL