The distribution of goods is vital to every part of that? Making it cheap enough to reach every citizen of Earth is what shipping containers have made possible.
Obviously every human activity is somehow related to 'the distribution of goods'.
Are these healthcare advancements closely related to either private enterprise or modern globalized logistics? Clearly not, as in many cases they took place without either, due to local conditions. For around half the world these advances took place before shipping containers.
Health education, hygiene and birth control generally rely on the transmission of information and ideas but not of goods. The other three have been successful, in at least some cases, as public goods, advanced outside of the private sector. In many other cases they have happened because of, not despite, local rather than globalized manufacturing and distribution.
Once a certain level of manufacturing competence is distributed throughout the world this need no longer exists. Information travels faster than freight.
Manufacturing of some goods still needs to be centralized to some degree because of the up front cost of tooling, e.g. extreme ultraviolet lithography machines and giant multi-megaton presses, among other things.