The time I used synthetic oil there was a lot of white smoke. Under heavier loads it would burn better and more complete. But just driving around town or light throttle down the highway, there was some white smoke from it not burning so good. Beware. I've run many, many different oils. The only stuff I avoid is anything that weighs over .900 specific gravity (some thinner spindle oils and the such). The better stuff I've run was the cheapest ATF I could find (believe it or not).
Think of it this way. Would you run diesel fuel in your motor instead of motor oil? Well that's what were doing with the injection pump and injectors. The CP3 has a crank in it, pistons and valves. The injectors have super high speed moving pistons (pins) in them that are valves as well. Why not give them some lube too? Do you think that the auto manufactures want your diesels working for a long long time? If they did, then their revenue would drop. Just calling it what it is.
My 2 cents and 9 years of running it in my Dmax.