To answer your question, I turn to a wonderful book by a British midwife, Denis Walsh, entitled Evidence-Based Care for Normal Labour and Birth. He cites a study documenting the distress women experience when told not to push despite their internal urge and continues: "For a topic where there is such engrained custom and practice, one would expect there to be a substantial research base. Not only has it not been researched, but, like transition, little has been written about it. . . . Early bearing down has spawned practices based at best on worst-case-scenario thinking and at worst on myth" (p. 102).
My opinion is that its origins are rooted in controlling the woman and her body, which in turn arises from the foundational belief that the natural process is fraught with danger and therefore must be controlled for the woman's, and even more importantly, the baby's, own good. This is rarely a conscious rationale, you understand. It is just what appears to be self-evident to medical-model thinkers. Even if there were incontrovertable evidence against demanding women not to push, I would not expect to see practice change. Beliefs will trump logic and evidence every time.
-- Henci