Front Diff Fluid Capacity

[LA02MAX]

I've searched and searched on this topic, and haven't found any definitive information for the E53 chassis. Most people seem to fill these until the fluid level is at the bottom of the fill plug. However, there are a few threads on the E70 forums that show a snapshot of the fill process, and it expressively states to not fill until fluid exist the fill hole. Instead, it should be filled with 600 ml of fluid.

I'm digging through the TIS application and I can't find a similar statement for the E53. What I did find is that the new filling volume is 700 ml and oil change 600 ml.

Does anyone know what the official fill procedure recommends? I changed the front diff fluid and filled it until it was level with the bottom of the fill hole. This definitely took more than 600 ml of fluid. ~1000 miles later, my front differential pinion bearing blew. I just got a brand new OEM differential, and I want to make sure I don't mess this one up. I'm leaning toward following the TIS capacity and measuring out 700 ml (for a new diff) and calling it a day. Thanks!