Although the request sounds simple, after playing a bit some questions come to mind.
When a sample is dragged on a project it becomes an Arranger Clip. These clips can be renamed through the inspector channel and the new label is used in some places. The original name of the sample is also kept (which is good, that is the source audio) and it is shown in other places. Sadly (and confusingly?) the clips in the arranger show their the original name, not a new name set by the user.
Anyway, when you say that the rename should be applied through the project, this rename would need to happen at the original file name level, the new names set by the user via the inspector channel would rename the same. I guess this is fine.
Yeah, I think this becomes even harder when we take into account the Bitwig packages and their updates. I guess that, for consistency, it is better not to make it easy for users to fiddle there?
Note that a clip resulting from a bounce will only become a sample in the user’s library if they “Save Arranger Clip To Library”. When they do this, they can rename the clip to “Kick” or whatever.