Gotta be careful of post battle photos. Those were taken after the troops took down the rail fences to get from point A to B, for firewood and for hasty breastworks.
As for soil type. I must disagree. My reading on snake fences is that making post holes was (and still is) a huge pain and consumer of time, and snake fences did not need them. Although such fences consume more wood, America had plenty of wood, and the initial fences used the timber cut down when clearing the fields.