I would use "without identifier" too, but you then have to have additional logic in the CMS to ensure you never repeat a page title, and the error handling is just that little bit more complex.
Additionally, is a request for
example.com/this-coo a typo for
example.com/this-cool-gadget? Without the record number, we'll never know.
Finally, if the page title were to be changed, the old title would need to be stored as a database record with redirect information enclosed. If it were to be changed again, the oldest record would need amending as well as creating another redirect entry.
For a system with record numbers in the URL, the title can be changed at any time, and there is no need to keep a record of old page titles because any request other than
www.example.com/23456-exact-text-match is redirected to the canonical URL.