Risk of child/mother dying is higher, but mostly if there are complications. For the most part, water birthing is relatively safe. Not getting a birth certificate, on the other hand, is not.
Here is a study which has a ton of info. To summarize, undergoing labor in a water bath just flat out is safer. Actually giving birth has mixed results, not necessarily because it's less safe, but because there are a lot of external factors.(much of the studies featured midwives, which isn't useful for my claim) That being said, this specific segment, which I've done my best to ensure it wasn't taken out of context, is highly relevant to my claim:
Rates of newborn transfer to a hospital were lower following water birth (1.5%) than non–water birth (2.8%). Rates of adverse newborn outcomes (5-min Apgar score, 7, respiratory issues, presence of infection, and NICU admission) were each lower than 1.0% in the water-birth sample. The total rate of any respiratory issue was 1.6% in the babies born in water and 2.0% in those not born in water.
What does that at all have to do with not having a doctor present in case of a complication? Nearly 1 in 10 of all pregnancies have a complication of some sort. It doesn't matter how safe the method usually is, if something goes unexpectedly wrong you want someone there trained to handle it.
Specific to your point, my local state run/funded hospital does offer several rooms with birthing pools and midwife lead births, they weren't pushy in any direction regarding birthing options and were generally positive on the experience, certainly didn't discourage the option.
Granted this is in a hospital, doctors are on hand if required and the option is removed if the pregnancy is higher risk, but a no-Doctor/kiddie-pool birth in and of itself isn't super remarkable.
Setting that child up for failure. An actual pull themselves up by the bootstraps situation for them to have a chance at deciding if they want to be a part of society or live the life their parents forced upon them.
Deciding if they want to be a part of society or live the life their parents forced upon them.
I just realized we all face this choice at some point. Some are more drastically different than others, but at some point we all have to decide if we follow what we've been taught through childhood, or if we follow outside influences of society.
Actually many people believe the same but in reverse. A lesser known fact is that the SSA assigns a SSN to every child born in a hospital Source - SSA guide on Process. It is supposed to be opt-in but court cases by Native Americans have shown that its essentially mandatory and so the driving force of these live births are to avoid their children being branded by a number than can serve as an identifier for the rest of their information. When these kids grow up they often have to get their congressmen involved to get the SSA to issue an SSN since one was not issued at birth. It shows their process works to an extent since they literally have to be vetted by local congressman to show they exist. I am sure there are users in privacy focused communities who would kill to drop off the grid similarly.
I remember a case like this that was on reddit. She posted some video explaining the whole thing and that she turned 18 in a few weeks and had no documents. No birth cert, no SSN, no DL, no official docs of any kind. She was leaving her crazy anti gov parents when she turned 18 but realized she had no way to do it for that reason. The easiest solution people had for her to start the ball on all that was for her to sue her parents for a paternity test and go from there with sworn statements and such.
As I was reading I was wondering how one would start to prove who they are. A paternity test is definitely a good start. It links you to people who exist. I hope they write a book or sell the story at some point to help with their life. Parents really fucked it up for them.