At first sight, Mommsen points out inconsistencies/problems with the reconstruction of the meaning but does not come to a conclusion within the German/Greek text quoted in #103.
By the way, August Mommsen is an example of cutting-edge research carried out by high school teachers in Germany around the 19th century. Georg Ohm is maybe the most famous example. He experimentally showed the law which was later named after him.
At that time, at least some teachers at high schools in Germany were called professor.