I've changed the symbol pin names with the "Modify Cell & Symbol Pins" (Library Manager > Tools).
Then I deleted (renamed) in "projectDirectory\Integration" the file "LocalPartsDB.pdb" and in "projectDirectory\Integration\layout" the file "PartsDB.pdb".
re-opened the design, updated symbols and packaged the desing with following options:
It worked. The pin names now have changed.
Is there any other way to do this? -> so I don't have to delet the files..
In the above dialog use the Delete local data, then rebuild all local library data - that will delete the files you deleted automatically.