Remember the US is the nation of the helicopter parents, where it is common to drive the kids to school and everywhere else until they get their own driving license.
And cops are common to pick up younger kids which are around on their own because it is so unusual
Putting a kid on its own on a train would be absolutely unthinkable.
The only time I used Amtrak there was a child in the opposite seat. Staff put a sticker over his seat announcing that he was alone, which I thought was odd.
Meanwhile round here in London children get free bus travel, so it's very common to see them on local buses, and sometimes trains (tends to be wealthier kids on trains).
How so? Kids can not travel in cars alone because they have no license. Kids can travel in trains alone.