Also, labour can occur surprisingly quickly, as happened to a friend of ours who gave birth on our driveway whilst dropping off their first child on the way to the hospital.
By the time it was clear I was on the way it was too late to administer anesthesia.
But it was not the doctor’s pain to feel.
Usually they measure the regularity and intensity of the contractions. If the contractions are short and far between, the hospital will send the mother home, because it will probably be several hours before the child comes. However, some childbirths don't follow these rules.
A normal definition would be along the lines of sipping mai-tais on the beach.
But in the case of active labor, then yes, you're correct. I have close family members that are quite familiar with stalled labor (30+ hours). However, in that particular case, it was due to really bad doctors.