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How about this: the Father is greater than I [John 14:28]?

Sure, but Jesus was obviously not splitting His "hypostatic union" (if I am using that correctly) and speaking in His "Divine-only" capacity. Just a few verses earlier He says:

John 14:9-14 : 9 Jesus answered: “Don’t you know me, Philip, even after I have been among you such a long time? Anyone who has seen me has seen the Father. How can you say, ‘Show us the Father’? 10 Don’t you believe that I am in the Father, and that the Father is in me? The words I say to you are not just my own. Rather, it is the Father, living in me, who is doing his work. 11 Believe me when I say that I am in the Father and the Father is in me; or at least believe on the evidence of the miracles themselves. 12 I tell you the truth, anyone who has faith in me will do what I have been doing. He will do even greater things than these, because I am going to the Father. 13 And I will do whatever you ask in my name, so that the Son may bring glory to the Father. 14 You may ask me for anything in my name, and I will do it.

This doesn't match a stand alone "the Father is greater than I"