I certainly include many sub-genres in my definition of Pulp - Western, Horror, Science Fiction, Pirates, Jungle civilizations fighting "modern" men, and so on. Of course, many Pulp publications covered these and many more genres of action and adventure.
However, when I think of Pulp hero, I think in terms of the pre-super hero - when men (and women) who were heroic were still just normal homo sapiens. They might have been physically fit and well-trained, but it was there personality traits that set them apart from others (not super powers) - determination, bravery, resourcefulness, and grit.