Einarr's connection to Odin in the sagas is significant for several reasons. Firstly, Einarr is often associated with characteristics of Odin, such as being a warrior and a leader, which establishes his status in the sagas in two contradictory ways as highlighted in the Orkneyinga saga. This connection also implies Einarr's alignment with the values and attributes of Odin, such as wisdom, war, poetry, and the runic arts, as mentioned in the gods of Norse mythology - Odin - Einarr's Journey. Furthermore, Einarr's connection to Odin may suggest a divine or semi-divine status, linking him to the ancient Odin cult that was centered on young warriors, as discussed in the Einherjar - Wikipedia. This association with Odin would have likely enhanced Einarr's reputation and authority, and possibly provided a basis for his actions and decisions within the narrative of the sagas.