In the top photo there appears to be a hay track. This barn could be a custom design for the hay track system....
Jim, there is a hay track. I agree that this might be one of the reasons behind the design. With no crossties, a big mound of hay could be lifted from a wagon and ride down the length of the barn w/out needing to be hoisted above the ties.
But many, many barns have these tracks w/ out this post arrangement so I'm puzzled that it didn't "catch on" because it affords that option.