This is the S2000 diff housing, without the back cover (obviously
)
It holds (as INDYMAC said) about 800ml.
The oil passages are clearly visible, I've changed the brightness & contrast a little to make it easy to see.
Both passages allow oil "flow" towards the first pinion bearing.
The housing is downside-up in this picture.
When driving forward, the ring gear throws oil into the big opening (now at the bottom) and that oil lubricates and cools the first pinion bearing, some of that oil then makes it through the first bearing and lubricate the second bearing too but most will flow through the bottom passage, to be picked up by the ring.... etc.. etc..
That oil flow is also important, I agree.
Unless the oil is solid I think any oil will be thrown forward, the ring is spining at wheel revs.
Here is where I want my diff oil to do most of its work: