When I was expecting baby #1 and doing hypnobirthing sessions, my instructor explained that "breathing the baby down" was all I would need to do. Now, I bought into hypnobirthing 100% and it worked wonderfully for me... but I admit I was always a bit skeptical about not having to push!
As it happens, when I was fully dilated in the birthing center tub, the midwife (who I didn't know all that well beforehand) hustled me out of the tub and up onto the bed and directed me to push in true drill-sergeant fashion. I complied because I couldn't wait to see my baby - but she was hardcore; I remember exclaiming, "There's my baby!" when I saw the head in the mirror, and her replying, "Don't talk, PUSH!" I probably pushed no more than 10 times, and perhaps I even delivered a bit too quickly, because DD came out with her hand next to her head and I tore quite a bit as a result. The only time I really felt an overwhelming urge to push was right at the end when the midwife was telling me NOT to push, and I replied, "I have to!" It was like my body was doing its own involuntary thing. Why fight it? But I assume she was trying to slow me down to ease the baby out. I really felt like we were at cross purposes. She even confessed afterwards that she had considered doing an episiotomy! I think she was just exhausted - I was her 3rd birth that weekend or something.
I'm not sure if that really answers your question... but at any rate, now I am expecting baby #2, and I have (A) made sure to find a midwife who doesn't do hardcore directed pushing; and (B) talked with my hypnobirthing gal to get a better sense of this whole "breathing the baby down" thing. And I'm hoping I can be less impatient myself this time too when the 2nd stage rolls around. We'll see!