No human being gets anointed in Genesis; only pillars (Gen 28:18; 35:14).  The pillars represent the “house” of Yahweh, the cornerstones of the future temple.

It’s not until Exodus 29 that we read of a human being anointed with oil.  Aaron is the first Christ.  He is also Bethel, the gate of God, the living house of Yahweh.