Proper-name status is a cause that may combine with ʿadl, femininity, foreign origin, a verb-like pattern, additional alif-nūn, or a relevant compound form.
However, do not reduce the whole diptote system to “always exactly two independent causes.” Some patterns count in place of two causes, as studied previously for feminine alif.
The current source’s specific rule concerns proper-name status as the relevant kind of definiteness, and its combinations other than adjectival status.