If we can agree that authorized BMW dealerships that sell BMW motorcycles and service accurately represent BMW's intentions, then these recommendations can be found in BMW's parts fiches, specifically in this case, MaxBMW's parts fiche.
They probably got that from the Clymer manual.

Those notes are added by MAX(they also add comments for other parts) and are not part of the BMW fiche.
The Haynes manual refers to a "new" clutch nut but makes no mention of new for the compression ring or the other six nuts/washers.
In looking at the BMW K1100 manual it DOES indicate a new O-ring is used (obvious) and that the clutch nut should be "renewed" but not any other clutch parts.
I was just curious if anyone had ever seen anything about this from Der Fatherland, such as in a manual or technical service bulletin.
My shade-tree mechanic opinion: (I studied materials science when getting my civil engineering degree so I'm not a complete idiot when it comes to metals.)1 - Replacing the O-ring is a no-brainer. I use Viton O-rings since they last longer than rubber.
2 - Probably a good idea to replace the clutch nut since the K1100 manual does call that out. (I've re-used them many times without issue however.)
3- Compression ring: Meh, probably OK to re-use it.
4 - All the six outer bolts do is hold the clutch pressure plates together so I can't see any good reason why those would need to be replaced.
5 - Replacing the external lock washers for those six bolts might make sense but it's probably not the end of the world if you do re-use those. I've re-used them without issue.
Finally, it's just a motorcycle, not the space shuttle where material properties and tolerances make a "real" difference.