This is one of my Posts:
vent tube in LR wheel well
This is my Post about insulating the tail pipe.
Rear axle weep
In my opinion, after doing it, insulating the exhaust pipe serves no useful purpose.
Refer to your last picture above:
The vent with the red cap is for the gear oil portion of the RDM and vents to the left rear wheel well behind the splash panel.
The vent on the black cover is for the ATF chamber, I don't know where it vents to.
Exhaust heat does not contribute to building up pressure in the RDM, I tested for that.
The axle seals on the left and right are the same. The reason why the left side weeps/leaks is because the oil level on the left side is higher.
This is because the oil migrates slowly from the right side to the left side.
Once I filled both sides completely full to the bottom of the fill holes. The next time I added oil the oil poured out of the left side. I had to add oil to the right side.
If you remove the left fill plug and no oil comes out it is really low and the right side is probably close to empty.
When you add gear oil measure how much you add to the left and right side separately.
You should be able to add more to the right side than the left side, if not then probably the unit is nearly empty.
Use the measurement marks on side of the bottle.
Go ahead and add gear oil to both sides, think positive.