I cannot follow your reasoning. This subject has been debated repeatedly; and, in my opinion/understanding they have little to no clarity or consistent scriptural support.
For you information, the Trinity doctrine that you are referring to is explained in this form or similar: "The Father, Son, and Holy Spirit are each without a beginning, have existed for an eternity, uncreated, and equal." In other words, each is neither greater nor lesser than the other.
Would you explain how the following scriptures, in the book of Matthew-only-support your understanding of this man instituted doctrine?
Chapter 3:17 Is Jesus a ventriloquist?
Chapter 4:3, 4, 6, 7, 10 Explain how the devil-Satan understood the distinction between Jesus and the father.
Chapter 5:16, 45, 48 Why is “Father” being used and not himself?
Chapter 6:1, 6, 8, 9, 14, 26, 32 Again, why is “Father” being used and not himself?
Chapter 7:11, 21 Again, why did Jesus say “my Father” and not himself.
Chapter 8:29 How is it that the demons referred to Jesus as the “son of God”?
Chapter 10:32, 33, 40 Do sinners need to confess to Jesus twice; and, did Jesus send himself forth?
Chapter 11:25-27 Is Jesus praying to himself?
Chapter 12:50 Again why do the scriptures say “my Father” instead of “me”-referring to Jesus himself?
Chapter 14:33 How is it the those in the “boat” understood the distinction between Jesus and his father.
Chapter 15:13 Did Jesus do the “planting” and “uprooting”?
Chapter 16:17, 27 How can Jesus be himself and then refer to another entity?
Chapter 17:5 Again, is Jesus a ventriloquist?
Chapter 18:10, 14, 19, 35 If Jesus is on earth, then who is the “Father” that he is referring to?
Chapter 20:23 Jesus cannot “give,” and who is the “Father”?
Chapter 23:9, 10, 39 Jesus infers that he is not the heavenly one. This denotes two entities.
Chapter 24:36 Is not Jesus contradicting himself here?
Chapter 25:34 How Can Jesus be his own father?
Chapter 26:29, 39, 42, 53, 63, 64 How can Jesus be a son/father to himself?
Chapter 27:54 How can Jesus be “God” and a “son” of himself?
Chapter 28:18 Who gave such authority?
The Father is not the Son, the Son is not the Father.
Whoever desires to be saved should above all hold to the catholic faith.
Anyone who does not keep it whole and unbroken will doubtless perish eternally.
Now this is the catholic faith:
That we worship one God in trinity and the trinity in unity,
neither blending their persons
nor dividing their essence.
For the person of the Father is a distinct person,
the person of the Son is another,
and that of the Holy Spirit still another.
But the divinity of the Father, Son, and Holy Spirit is one,
their glory equal, their majesty coeternal.
What quality the Father has, the Son has, and the Holy Spirit has.
The Father is uncreated,
the Son is uncreated,
the Holy Spirit is uncreated.
The Father is immeasurable,
the Son is immeasurable,
the Holy Spirit is immeasurable.
The Father is eternal,
the Son is eternal,
the Holy Spirit is eternal.
And yet there are not three eternal beings;
there is but one eternal being.
So too there are not three uncreated or immeasurable beings;
there is but one uncreated and immeasurable being.
Similarly, the Father is almighty,
the Son is almighty,
the Holy Spirit is almighty.
Yet there are not three almighty beings;
there is but one almighty being.
Thus the Father is God,
the Son is God,
the Holy Spirit is God.
Yet there are not three gods;
there is but one God.
Thus the Father is Lord,
the Son is Lord,
the Holy Spirit is Lord.
Yet there are not three lords;
there is but one Lord.
Just as Christian truth compels us
to confess each person individually
as both God and Lord,
so catholic religion forbids us
to say that there are three gods or lords.
The Father was neither made nor created nor begotten from anyone.
The Son was neither made nor created;
he was begotten from the Father alone.
The Holy Spirit was neither made nor created nor begotten;
he proceeds from the Father and the Son.
Accordingly there is one Father, not three fathers;
there is one Son, not three sons;
there is one Holy Spirit, not three holy spirits.
Nothing in this trinity is before or after,
nothing is greater or smaller;
in their entirety the three persons
are coeternal and coequal with each other.
So in everything, as was said earlier,
we must worship their trinity in their unity
and their unity in their trinity.
Anyone then who desires to be saved
should think thus about the trinity.
But it is necessary for eternal salvation
that one also believe in the incarnation
of our Lord Jesus Christ faithfully.
Now this is the true faith:
That we believe and confess
that our Lord Jesus Christ, God's Son,
is both God and human, equally.
He is God from the essence of the Father,
begotten before time;
and he is human from the essence of his mother,
born in time;
completely God, completely human,
with a rational soul and human flesh;
equal to the Father as regards divinity,
less than the Father as regards humanity.
Although he is God and human,
yet Christ is not two, but one.
He is one, however,
not by his divinity being turned into flesh,
but by God's taking humanity to himself.
He is one,
certainly not by the blending of his essence,
but by the unity of his person.
For just as one human is both rational soul and flesh,
so too the one Christ is both God and human.
He suffered for our salvation;
he descended to hell;
he arose from the dead;
he ascended to heaven;
he is seated at the Father's right hand;
from there he will come to judge the living and the dead.
At his coming all people will arise bodily
and give an accounting of their own deeds.
Those who have done good will enter eternal life,
and those who have done evil will enter eternal fire.
This is the catholic faith:
one cannot be saved without believing it firmly and faithfully.
Athanasian Creed