My dealer changed me this week the elements to eliminate the VANOS-diesel-sound, it took 3 days.
Result : OK, no more diesel sound even when engine warm, and no more at startups.
That's the first time they install this 2nd version, but they told me that the 1st version wasn't very successful, customers had the noise again after ~5000 miles.
They don't know if the 2nd will be more successful, all they know is that BMW tols them that they finally found the solution with this 2nd version.
Of course I'll post if the VANOS noise come again... (Hope not !)