Actually, it connotes EXACT, and means just that. The Greek word hypostasis tells us Jesus' very nature was the WORD/GOD incarnate.
It's God's Word, NOT tradition that shows the truth which you seem to ignore or not be able to see.
Here's some more from scripture that shows who Jesus IS.
Jesus said: I and the Father are one.
Jesus said: If you've seen me you've seen the Father.
Jesus said: If you knew me, you would know my Father also.
Jesus said: You shall worship the Lord your God, and serve Him only.
Jesus said: If you do not believe that I am He, you will indeed die in your sins.
Jesus said: You call me ‘Teacher’ and ‘Lord,’ and rightly so, for that is what I am.
Jesus said: Don’t you believe that I am in the Father, and that the Father is in me? The words I say to you I do not speak on my own authority. Rather, it is the Father, living in me, who is doing his work.
2 Peter 1:1
Simon Peter, a servant and apostle of Jesus Christ, To those who through the righteousness of our God and Savior Jesus Christ have received a faith as precious as ours:
2 Peter 1:11
and you will receive a rich welcome into the eternal kingdom of our Lord and Savior Jesus Christ.
2 Peter 2:20
If they have escaped the corruption of the world by knowing our Lord and Savior Jesus Christ and are again entangled in it and are overcome, they are worse off at the end than they were at the beginning.
2 Peter 3:2
I want you to recall the words spoken in the past by the holy prophets and the command given by our Lord and Savior through your apostles.
2 Peter 3:18
But grow in the grace and knowledge of our Lord and Savior Jesus Christ. To him be glory both now and forever! Amen.
Col 1:19-20
For God was pleased to have all his fullness dwell in him, 20 and through him to reconcile to himself all things, whether things on earth or things in heaven, by making peace through his blood, shed on the cross.
Col 1:9-10
For in Christ all the fullness of the Deity lives in bodily form, and in Christ you have been brought to fullness. He is the head over every power and authority.
Titus 1:3
and which now at his appointed season he has brought to light through the preaching entrusted to me by the command of God our Savior,
Titus 1:4
To Titus, my true son in our common faith: Grace and peace from God the Father and Christ Jesus our Savior.
Titus 2:10
and not to steal from them, but to show that they can be fully trusted, so that in every way they will make the teaching about God our Savior attractive.
Titus 2:13
while we wait for the blessed hope—the appearing of the glory of our great God and Savior, Jesus Christ,
Titus 3:4
But when the kindness and love of God our Savior appeared,
Titus 3:6
whom he poured out on us generously through Jesus Christ our Savior
Is 9:6
For to us a child is born, to us a son is given, and the government will be on his shoulders. And he will be called Wonderful Counselor, Mighty God, Everlasting Father, Prince of Peace.
Is 43:11-12
I, yes I, am the LORD, and apart from me there is no savior. I’ve revealed and saved and proclaimed, when there as no foreign god among you — and you are my witnesses,” declares the LORD.