Clearly there is a distinction. Please exegete vs. 25 from your perspective. Wherefore he is able also to save them to the uttermost that come unto God by him, seeing he ever liveth to make intercession for them. And God did not pray as God. But in the days of His flesh, when God was incarnated for the purpose of saving mankind, we read that He prayed, because men pray.
Men pray to deity.
Even Jesus' own humanity had to pray or else He was simply not truly incarnated at all. As Sonship continues in the glorified humanity He obtained from His resurrection, intercession continues for us. The days of His flesh continue, albeit it is glorified flesh. As intercessor and great High Priest, Jesus is still our representative in t he sense of the High Priest being human was representing the people as he entered the Holiest of Holies in the temple. He could not represent us unless he be genuine humanity.