I'd caution you to take this attitude in this case. Modern medicine isn't run by boogiemen out to get you. Nuchal cords really do increase risk, and you're making a cavalier and poorly informed statement to justify your reasoning with "the baby isn't even using its throat to breath yet." [1]

Forceps are generally reserved for emergencies, and could save your baby's life.

Birth goes ok, 90%+ of the time. I don't think it's right saying doctor and nurses are overreacting, their job and where they make a difference is in the 10%. And there's no knowing where you'll fall until after.

[1] https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5719938/