Not at all. Hospitals are lately notoriously unclean and eager to intervene and interrupt. A home setup can be very clean and healthy, and the hospital can still be there as a backup if extra equipment is required. Our midwives were quite equipped, though. Oxygen, IVs, fetal monitors, etc. Most of all, it's comforting at home, especially at such an important time
To quantify, at least in the US: your baby is twice as likely to die during birth in a birth outside of a hospital, compared to a birth at a hospital.
And this despite the fact that higher-risk deliveries are more likely to occur in a hospital, so that if the environments were equally dangerous, you'd expect the stats to tilt the opposite direction.
Source? I've never heard that and it sounds like fear mongering. Homebirth, for example, is statistically very safe
How much of that is Simpson's Paradox, though? What I'd think of as 'homebirths' are typically informed, prepared, healthy mothers with no known complications...