I spoke to the chair of one of the departments recently. Many graduate programs have been discontinued, leading to loss of faculty, especially research-oriented faculty. New professors are (in this particular department, anyway) expected to concentrate on undergraduate teaching to a far greater extent than in the past. The transition has been painful with much resentment. So I would apply to Tulane if you are interested primarily in undergraduate education and service learning (which has become part of the graduation requirements).
As always, each department is going to be in a different state. I'm sure this vary from department to department.
In my MLA discipline, they were looking for an advanced Assoc. prof b/c they needed help w/ their still very strong graduate program.