I don't agree...
I prefer the understanding of a Jewish interpreter, who was schooled in scriptures, of what was written when he said, "Who, although being essentially one with God and in the form of God [possessing the fullness of the attributes which make God God], did not think this equality with God was a thing to be eagerly grasped or retained,7 But stripped Himself [of all privileges and rightful dignity], so as to assume the guise of a servant (slave), in that He became like men and was born a human being. AMPC - emphasis mine.
In essence, he became man to operate legally in the earth and take back the authority that the first Adam gave away.
Addendum: Yes, I know that Adam and son of man does not mean the same. There are many titles for Jesus. Second Adam, Lamb of God, Son of Man, Lord, Master, God, and more... all expressing who He is.
Just as there is YHWY Shalom, Rapha, Rohi, Jireh, Tsidkenu, etc from the Tannakh that express who God is (which incidentally are also part of the expressions of Jesus too).