Lutzmannsburg is neither a town nor a village. It has no town privileges, but it had some "small town" privileges. This special privilege is in German called "Marktrecht". It was the right to hold at least an annual market, to collect toll and to have small rights of jurisdiction. Since 1849 has this historic privileges in Austria no meaning anymore. The pranger is a reminder of this former times, which is a sort of column in a public space. It was used similar to a stock or a pillory. Delinquents were chained to the pranger, so the criminal was visible for everybody and his or her crime became common knowledge. The main punishment was therefore public humiliation. In some way it reminds me of an older version of the yellow press.
The pranger of Lutzmannsburg is situated right in front of the protestant church. It was replacement for an older pranger in the early years of the 19th century. The pranger came as a place of humiliation shortly after its renovation out of use.
I think, that Sigmund Freud could have written a book about this "phallus like" piece of architecture and a second one about the meaning of phallus symbols for punishment. Actually archaeologists know of this special connection too, it's recognizable during all times.