Fair enough. But you haven't given us your definition of engineering yet. According to your wiki page:

Traditionally, the term art was used to refer to any skill or mastery. This conception changed during the Romantic period, when art came to be seen as "a special faculty of the human mind to be classified with religion and science".

You evidently subscribe to this Romantic definition of art, but claim that engineering is neither art nor science. So that makes it... religion?