The Roman Catholic writer Thomas Hart, in his book,
To Know and Follow Jesus, commented on a couple of verses in Hebrews.
Heb 2:17,
Wherefore in all things it behoved him (Jesus) to be made like unto [his] brethren, that he might be a merciful and faithful high priest in things [pertaining] to God, to make reconciliation for the sins of the people.
Heb 4:15,
For we have not an high priest (Jesus) which cannot be touched with the feeling of our infirmities; but was in all points tempted like as [we are, yet] without sin.
"The Chalcedonian formula [the council's decision declaring Jesus both God and man] makes genuine humanity impossible. The conciliar definition says that Jesus is true man. But if there are two natures in him, it is clear which will dominate. And Jesus becomes immediately very different from us. He is omniscient, omnipotent, omnipresent. He knows the past, present, and future … He knows exactly what everyone is thinking and going to do. This is far from ordinary human experience. Jesus is tempted but cannot sin because he is God. What kind of temptation is this? It has little in common with the kinds of struggles we are familiar with."
Indeed, had Jesus known He was God he would not have been at all like the rest of us.