There are no clutches, or chains. It is just gears. It is for a 1996 Trooper. I see nothing wrong with doing this. It could take the thicker oil but it would be stiffer when cold. The recommended oil is 5w-30 preferred but also 5w-40 is acceptable.
What do you suppose happens to engine oil when you mix 15w-40 Valvoline with 1 qt MMO a 20W oil? It cleans the motor and you can leave it in there a long time. I did that to remove the varnish off the stuck lash adjusters, took 3 days to quiet it down. It works so well, my plan leave it in till the next oil change at the regular interval. I also used a BOSS filter. Engine i 3.2L V6 SOHC Isuzu Trooper.
I know I never changed the Transfer case oil when I got this in 2013, and my daughter took ownership, then my son in law drove it, so its past due as is the rear axle that is a LSD.