To my knowledge, that is incorrect. You will see that in the jepps for instance ENNA have arrival routes leading to ILS and/or LOC approaches, but they are not STARs.
My impression is that a STAR is a procedure designed in compliance with very specific PANS-OPS/TERPS criteria.
Any other published way of getting from the airways to the approach will be named an "arrival". Such may be military designed procedures or other published routes, that are not compliant with the term STAR for one reason or another.