OMG the practice seems so bizarre to me you should do an elective with an indy mw to see a different side completely, we only give IV if the woman is haemmorhaging, or if she is having labour augmented for some risk factor.
So to your original post they were right it seems to practice CCT, the old pulling on the cord, however only if its ready-any resistance and you should stop. I am always worried of pulling the cord too much, one of the mw's I worked with said "come here" tutted and said "I'll do it" and the cord snapped (inside I laughed) outwardly I looked shocked and she then added all embarrased "thats never happened to me before" hhmmm me thinks differently x