Nope that is perfect logic Leonie.
That is why they liken the whole labour pushing thing to having a poo. Pushing and straining to get your poo out doesn't necessarily get it out any quicker, causes more distress and pain not to mention cause physical damage. If you just go with the flow and let it happen it still takes just as long, you are less distressed and there is less risk of physical damage.
ETA: When I was doing my calmbirthing I wanted a thread for people doing or who had done the same thing to talk to, for support and encouragement but there wasn't one. Would others be interested in this? I might ask the mods if we can have one set up, as I really felt it would be beneficial to share this experience.