Edwin Denby is a problematic gold standard of a critic. He was first of all a poet, a writer and then a critic. You would have to look to Frank O'Hara, James Schuyler, or John Ashbery, who were poets and wrote art criticism, as an equivalent.
Denby was indeed a poet as well, but he also functioned as a journalist writing under daily deadlines, as Martin did and Macaulay does. In fact during his lifetime I believe he was known primarily as a dance critic and not for his poetry, much of which went unpublished for a long time. Certainly his work as a poet influenced his criticism, which was indeed different in approach from that of critics like Martin. Quite a bit of the material in his collections is drawn from the reviews he wrote for the Herald Tribune while Walter Terry was at war. There was one intensely embarrassing occasion when Denby mistook Nora Kaye for Markova (or perhaps it was the other way about) and wrote a (very nice) review of the wrong dancer. (Boy, would some people rake him over the coals for that…….)