As far as the larger capacity aiding in cooling....
I understand both sides of the argument.
It’s true that more fluid takes longer to heat up.
It’s true that the fins are cut into the AFE diff cover to increase surface area and provide enhanced cooling.
So both arguments have validity.
However, the one element to consider is that the larger volume of fluid is held within a cover that has a larger volume. That larger volume, even without the fins, is going to add more surface area for cooling. So by creating a cover with more volume for fluid, it also creates more surface area for cooling. That’s also more surface area for the fluid film interface with the steel which should enhance cooling.
Moral of the story..... the AFE cover should provide better heat dissipation assuming the thermal conductivity of the steel is comparable or better than the competition.