It seems to me that the blind-spot belongs to those who call themselves Unitarians.
John 1 v 1 asserts the numerical identity and the non-numerical identity of the Word with God. Both contraries are asserted to be equally true of the Word in relation to God.
The Word is God, i.e. numerically identical to God. He is with God, i.e. he is not numerically identical to God.
If Unitarians ignore this paradoxical revelation of the nature of the true God they are elevating their own mind above the mind of God and denying his revelation, barking up the wrong tree and wasting everybody’s time, including their own.
What you are defining would not be a paradox, but rather a contradiction. The thing with contradictions is that they cannot possibly be true. To assert that contradictory things can be equally true is to throw dialog out the window. You might as well say that you and I are both right, even though we clearly disagree. That would be a contradiction but in your world that’s just a paradox, so why even dialog? Dialog is not possible to have once you throw logic out the window.
And it is really not charitable to think that John intended to write a contradiction when there are other options. If John did write contradictions then he really wrote nothing at all.
Here is the statement to which you refer. Maybe a deeper look at it is in order before asserting that it flatly states something clearly contradictory.
Ἐν ἀρχῇ ἦν ὁ λόγος, καὶ ὁ λόγος ἦν πρὸς τὸν θεόν, καὶ θεὸς ἦν ὁ λόγος.