I find that to be a very strong indicator. I am surprised that you see no correlation.
Its a strong indicator that pregnant women have access to healthcare, as do young infants. Its not a strong indicator that for the the rest of the child or mothers life they have access to healthcare for all of the other health problems they may encounter later on in life.
Regarding education - basic literacy isn't much of an indicator of an education system. Most developed countries demonstrate high levels of literacy. That doesn't mean that their education systems are equivalent.