Nazi Prop? Maybe...

The Broken Jug can come across as a Nazi Propaganda in a few ways.
One of those is the displacement of law and order. By the creation of a character like Adam you create a corrupt official, one which must be replaced by the well meaning and honest one after being disposed by the strong figure of order of the district Judge. So too does the Nazi party sweep in and save the day and replace the corrupt high-browed Adam with the common man in the Clerk, who, like the German people, has served without recognition for many years to ensure the world is judged truly and not as some people would like to view the world.

It can also be seen as a Nazi film as it is about the preservation of honor. The jug that was destroyed portrayed the glorious past of Germany, which was broken by some man who drew away from what was right and sought only the based of desires, that of a female. Furthermore, rather than perusing her in a correct and lawful manner, he threatened and schemed in order to gain control of her. Any honest man would not do this, or seek an early wedding day. This goes against the belief of a pure Germany, of well-meaning lads and family oriented maidens.

By looking at these ideas, the symbolism that the party supports is there, but it should also be noted that these are the ideas that any society desires and can be just as Nazi as not.