Well, I ask myself why the USA has so many premature births in the first place - but as the sources show - if we take those out altogether, we still have better outcomes in Europe than the USa for full term babies - more survive their 1st year of life.

concerning the question of 'why not' - I think it comes down to public attitutes.
yes, people can go for screening and tests in the UK - but do they?
In the USA, I would not mind betting that health insurance is only valid if you take regular healthchecks. people therefore have an incentive to check and check regularly. now, this does catch cancers early on, but we don't refuse people healthcare if they have not had a health check. So, maybe we can't get people to look after themselves as well as the States, where they may lose their cover if they don't have checkups.

I am just interested - in the UK, you get lower Life Insurance premiums if you are a non smoker. I wonder if you get lower health premiums too?