Students gain important skills in coordination and aural perception while learning music concepts in practice and in theory. The purpose of Eurhythmics is to teach music skills and concepts. In fact, Eurhythmics has greatly influenced the development of modern dance and creative movement in the 20th century. Important early modern dancers, including Doris Humphrey and Mary Wigman, were trained in Eurhythmics. However, their movement is designed to embody music.
Physical technique is addressed only insofar as it relates to musical experience.
I am the only Eurhythmics teacher I know who is also a professional dancer. It certainly is important for Eurhythmics teachers to be highly skilled in movement as well as music. Understanding exactly how the body moves is important to achieving excellent physical technique, which is important to teaching it to others. When I teach Eurhythmics, however, what I see on the outside is simply a reflection of what the student is experiencing on the inside, and that's what matters. So while I'll work directly with technique to improve physical skills, the goal is solely musical experience, not an external visual aesthetic.