You pack them with grease so the bearings and seals don't start dry.
Under operating conditions gear oil is sloshed side to side while cornering or driving on slopes and it gets to the hubs.
Back in the day it wasn't recommended to mix oils but things are pretty compatible now.
You can be sure it didn't leave the factory in 1982 with synthetic fill.
If it's an old diff there's no point in paying extra for synthetic, though I would be wanting to pull that cover and clean it out.
Also, make sure the vent is clear and hose properly attached up out of the way.
You don't want water getting in or pressure building up.
What's your climate?
How hard do you work your truck?
What kind of oil change intervals do you follow?
Is your D60 LS or not?
You definitely need friction modifier for the clutches if it is. (either formulated with it or a bottle/tube of additive)
Jim,
Lil'Red is a '87 F250 HD, 4.10's, 1356 4x4, Zf-5, 3G, PMGR, Saginaw PS, desmogged with a Holley 80508 and Performer intake.
Too much other stuff to mention.