Simply showing you some info on the subject.
All it takes is a contaminant, such as water to break the fluids down. Regardless of how old or new the fluids are. Water can seep in from the axle seals the day after it has been changed and ruin it. Driving in deep water over the dif housing can allow water to get in from the vent tube if it has a faulty breather cap. High temps for prolonged periods of time can break down the fluids. Synthetics take the heat better than dino.
As you can see, there are variables that bring upon the needs to install fresh fluids, especially if you do not know the entire history of the vehicle.
There are limitations to "All" fluids. If your not sure, and want peace of mind, by all means, replace the diff fluids. This will do no harm of any kind. Full Synthetic will need no additive for a LS. A hybrid dino synthetic may, and full dino fluid will take an additive.
75-140 full synthetic is my recommendation for your D4. Clean out the dif housing with rags and sweep a magnet inside it, paying special attention to the catch basin on the bottom. Look at your gears for for burnishing, look for signs of your LS clutch discs failing. Take the necessary actions to repair anything you suspect is wrong, or refer back to the forum for more help.
Your manual will tell you the proper amount of fluids for everything, or search the forum for more info.