Can I thread hog for a minute (though it is still about third stage)

I had a meeting with my doula last Monday (22/6) and I must admit I did not know much about the managed third stage or physiological/natural third stage before then... infact in all honesty I didn't really know how the placenta came out - I just assumed it followed the baby

But after discussion with my doula and doing my own readings re benefits, processes etc I would like to try a physiological third stage... I want to have a delayed cord cut as well.

Can I ask - I am going to a public hospital as a private patient - will it be the hospital's 'policy' or my Obs stance that I should be looking into???