I'm very curious as to what her relationship with her husband is like; she only ever talks about herself and Luna (but mainly talks about herself when talking about Luna). He doesn't even appear in many pictures. Luna is his baby too, there should be more photos of them together, and even just ones of the two of them. But I've never seen the Sociopath post anything like that.
And yes, she is incredibly vain and selfish to the point of very fucked priorities. The very first thing she did when she began the early stages of labor was to run out and get her pregnant "lady bits" waxed and her nails done. It didn't matter that those same "lady bits" would soon have a baby shoved through them, or that the perfectly manicured hands would shortly thereafter be wrist deep in diapers, what mattered more was that she had to look a certain way when she posed for labor photos in the photo studio that's supposed to be their living room. I will be very surprised if she doesn't do the same thing and get waxed and manicured for Luna 2.0, though she might not talk about it after the backlash she apparently got with the horrible story of Luna's birth. After all there's indications she's going to have another home birth water birth.
Speaking of the whole home birth debacle, I don't get the mindset that leads to these dangerous and deadly situations. I do understand it's hard to be in situations where you're not in control, but that's just the way health works when you want the best possible outcome. Yes, a hospital birth may lead to procedures and interventions you might not have wanted, but in the end you'll go home with your healthy, living baby. And Luna's permanent and ultimately fatal injury was 100% preventable if the Sociopath was in a hospital room instead of at home.
In a very sick and twisted way though Luna is unfortunately the ideal baby for Miss Sociopath since she doesn't seem to understand how babies are supposed to work. This is evident in how she regarded Luna when she was a tiny (small headed) newborn: Luna didn't cry and was, in her mind, "good". Right there she revealed that in her mind, a crying newborn (or baby of any age) isn't normal, but bad. Only good babies don't cry, and if the doctors ever told her that after Luna was diagnosed with seizures and critical brain damage, I doubt it really registered with her. For her, Luna is an accessory, not a tiny person. Even her unborn baby is already an accessory and not a future tiny person. An accessory she might detest if it's normal and thus cries, actually has a personality, and free will.