As for my openion , patients can be seen in ED of hospital and depending upon her labor status, dilation, intensity of contraction and high risks complicating preg or labor, she would be admitted to the labor suite, or kept under observation and if needed NST, US and so on, or sent home from there. Usually patients are not sent straight from labor suite (triage) Home at any cast under any circumstances. After observation and CTG and not needing labor room attention any more, then she will be sent to ward (floor) and would be discharged from there as per the floor attending physician's evaluation and as per the discharging rules.
It is same like admitting the patients of other specialties from ED to ICU or CCU; just as we do not discharge patients from ICU or CCU straight home, labor suite patients are also not sent home directly.
Am I up to your point or No?