Symmetric
The agitator movement approximatly is, an thus, load movement is not.
You start with a steady, non moveing system. The first move of the agitator adds momentum into one direction.
The reverse stroke induces about the same momentum, just in reverse direction.
Thus, the net momentum of the load after 2 agitation strokes is 0, and ploted against time, should look a little like a sinus curve shifted to never dip below 0.
Thus, most symmetric agitation will induce a resulting circular movement into the laundry.