Speaking from a land of socialized medicine, my concern isn't so much transport to hospital for a healthy uncomplicated birth, but what pre-natal care and screening was received, what birth plan was in place and what follow-up care is planned for this newborn including vitamin K, erythromycin, etc. I may advocate for transport as a pathway to care if I have concerns that the mom may not follow-up. Otherwise if everything looks good and this is a just a bump in the road, I'll provide them with a package we have with some resources for new parents and an explanation of what and how to complete the out of hospital birth registration forms. (Done automatically when delivered in hospital or by midwife at home but a bit more complicated out of hospital and required to receive birth certificate, health card and social insurance number; plus legally required). If we transport we'd be going directly to L&D.
Given that cost for OB or midwife care isn't an issue here a patient delivering at home, with no prenatal care and no health care provider to follow-up with is rare and a red flag.