I agree on a lot of what you say but my main point here is that it seems like European countries, even with affordable/free healthcare, better funded governement orgs and a lot less ground to cover have empirically worst results. So isn't it just a lot of... Luck? More than competence or lack thereof?

One major difference here to keep in mind is that Europe as a whole generally has much, much higher population density than most of the US, as well as far less distance between population centers. Accidental spread between towns and cities is much easier there just by pure geography.