In my blunt statement about poetry & academia, I neglected to mention a third (& mediating) factor: the enthusiasm for knowledge, the pleasure involved, shared alike by teacher, student, poet. "Poetry is the scholar's art." (right, Wally. He also said that academic poets were "kept men".)
Yet knowledge & poetry ain't the same, eggzackly (as JL, whose comments instigated this thread, points out). The original NY School can be understood as a sophisticated effort to do an end run around the professionalization of poetry, which was promoted by Eliot, Allen Tate (whose style strikes me immediately as that of a canny academic imitation of Hart Crane) & the New Critics (Janus Face of Modernism, an excellent study of the Crane/Tate dynamic & its aftermath: I forget the author's name, unfortunately...).