OK here's what happened to me last week.
My limited slip never did work right from the beginning. Not as tight as I had in the past. I put in Amsoil Series 2000 about 2 years ago. No change. No chatter. LSD acted the same. NOT worse.
Just changed it again at 52K miles. It sure is nice having the Mag Hytec diff cover! Easy to drain and refill. NO mess.
Within 50 miles my LSD was chattering like crazy! Even just a slight turn, I'd feel and hear a rumble. But my LSD was working like I'd always wanted! One tire on dirt and one on pavement, it will spin both! Wouldn't do that before. It would only spin the tire on the dirt.
My guess is that DC adds a LOT of additive to the rear axle so they will not get any complaints. Too much will make the LSD not work correctly. Too little and it will chatter.
So far I have added 3 oz of additive, one ounce at a time. Again it is nice to have the Mag Hytec. Just crawl under the truck, unscrew the dipstick/fill and pour a little in. So far 3 oz and it doesn't chatter much. Just a little if any. I don't want to overdo it because then the LSD won't work right again!
That's my theory on the subject. It's a free country and we can run what we want. I'm just trying to dispell the myth that synthetics mess up the LSD action!
TOO MUCH additive/friction modifier will make the LSD work like crap! Remember that.
As I said in another post on this subject in a different thead, dino or synthetic, either is fine. Synthetic has a much better heat threshold and if you tow VERY heavy loads at highway speeds you'll be better off with a synthetic. If you don't tow, then run dino lube or synthetic.
Hope that helps.