'Naturalized' is another word for 'invasive'. The terms ‘invasive’ and ‘weed’ are emotionally charged and based on subjective assessments. Depending on place and time a so-called ‘weed’ can become desirable and is even cultivated by the nursery trade.
Note the current popularity of Joe Pye Weed, Eupatorium purpureum, and Orange Butterfly Weed, Asclepias tuberosis). Japanese Knotweed, Fallopia japonica, and Elderberry, Sambucus canadensis, which makes a very functional sun-or-shade blind or hedge where other plants fail. If the objective is to 'naturalize' a species to form a blind or border then you want a plant that is fast-growing and ‘invasive’.