I'm sure that's true in some cases, but I was bleeding a lot before the placenta came out and before any interventions with it. For some reason, although otherwise no problems, we have a family history with this. My mom also bled like crazy with no interventions during her births.I had upped my Vitamin K and I had a VERY healthy pregnancy and a normal, natural birth. In my case, the placenta DID need to be delivered faster so that I could not bleed out quite so much.
I dont think that in a normal healthy pregnancy/birth, a shot of pitocin is routinely necessary. It is often given for liability reasons, just like when babies get antibiotic eye drops. As long as the mom has a high intake of vitamin K there should be a minimal risk of hemmorage. Another reason that I have heard of the pitocin shot being given although I have not researched it, is so that the placenta can be delivered faster so that the Dr can be there for less time.