Does infrastructure make bicycling safer? Probably, but it doesn't change how and why people ride, nor does it change what we might call cultural differences.
Also, consider that fully half the severe injuries and deaths in the USA involve children. It's possible that Dutch parents, being more knowledgeable about bicycles, do a better job teaching their children to ride safely.
In any case, statistics are not destiny, and each of us has the ability to manage our safety and alter our risk profile. In any group I've ridden with we had people with multiple crashes and people with few or none. Whatever the average was, nobody had an average number of crashes.