Agreed, but when I have a automated Back-script (w/ postgresql) running, which takes the backup every scheduled-time, how can I achieve this. Further manually Copying the filestore for a new-database doesn't sound feasible, so I wonder how to manage this. Or still better is there a way, in Odoo to have a database without the filestore concept? like configuration or so.

Without physical filstore, but let it save those necessary filestore-related files in its database itself. Because this filstore not only stores less/css related files, it also stores attached documents, & my database has provisions to upload a supporting - documents to every-record. So due to the above limitations, I noticed, most of those important documents were corrupted too, including Invoice-Pdf-reports, that gets attached were failed to load in the restored database without its filestore

Deep, in your backup script you can apply the same code which Odoo is using (link I shared in answer).