Looks like I've joined the club today.
2008 e70 4.8 115k miles
(not my car)
https://www.youtube.com/watch?v=af_7IANxMsI
I expect the same.
My observation so far: car was having the push/pull feel when coming to a stop. Similar to what some of you referred to in other forums.
I don't know why.
FIXED: New Diff (final drive)