Note that you used the term "Father" in your rewrite.
The "generation" part stands. The Word eternally "comes forth" from the Father.
I do believe that the Word eternally "comes forth" from the Father, and since I believe this to be an eternal relationship I believe that this did not change when the Word became flesh.
I have offered several OT examples of this. Granted, these could be isolated instances spread out over Scripture.
BUT you have not offered a defense for a change within the Trinity with the Incarnation.
In fact, your use of "Father" seems to recognize that the Word eternally comes forth from the Father.
BTW, why did you choose to call the 1st Person of the Trinity "Father"?
Here is what I wrote:
And in one Lord Jesus Christ, God the Son, our uniquely divine God incarnate, designated by the Father before all ages.
Comes forth refers to biological creation of an entity that did not exist before coming forth.
To be designated by the Father fits your claimed meaning of "comes forth."
I did not say nor suggest God the Son became God the Son at the incarnation.
I do not recall what your "several examples" refers to, nor the verses cited.
Of course I offered no defense for a change of the Second Person becoming the Son at the incarnation, that is not my view, since I have said all three Persons existed eternally, without a beginning.
Yes, God the Father was always God the Father, and God the Son was always God the Son.
The First Person of the Trinity simply differentiates God the Father from the other two Persons of the Trinity, the term does not signify that God the Father existed before the other two or that the other two were "brought forth" from the Father.
Jesus refereed to God the Father as Father, and certainly God the Father created all humans, thus our "Heavenly Father."