No; by definition, anyone who considers the State to be an unnecessary evil is an anarchist. Anarchists can be communist, capitalist, mutualist, or geoist, or whatever regarding property.
There are some anarchists who insist that their particular school is the "one true" anarchism, just as there are sectarian Christians who insist that their denomination is the only "true" Christianity.
All three assertions were made by the "father" of anarchism, Pierre Proudhon, who thrived on "contradiction."
My interpretation: Decreed (statist) property is robbery; entitled property is liberty; and government property is impossible.