David, what year is your truck and what is it? I just peeked inside a 2017 owner's manual and see that they're using different fluids from my generation and the 75W90 you mention is for the front differential and not the rear. The rear on a '17 takes 75W85, PN# 19300457. The transmission for the Denali takes a different fluid Dexron HP compared with the others and transfer case which use Dex VI.
The GM lubricant I posted for is for the 2017s front diff (and GMT900 rears) and does contain the limited slip additive. In the old days, too much or too little would cause chattering. I've had no chattering at all refilling mine with the appropriate amount. Our differentials are a combination, locker and limited-slip. If Mobil's product contains the LS additive, I'm sure it would be fine to use as well. My own preference is for the original.