Logos is a product of the mind: "reason", "word", "argument", "rationale", "plan", "script", "promise" and "prediction" are some examples. When logos becomes flesh it means that God's word has been proven true, a promise of God has been fulfilled, or a prediction of God has come true.
This is what John means by "the word became flesh", the promise and prediction of a coming savior, who was to serve as the light of life came true in the person of Jesus Christ.
IMO, the best way to understand your point is to read John's preamble through the prophecy that came true; namely,
Deuteronomy 18:15-18:
5 Moses continued, “The LORD your God will raise up for you a prophet like me from among your fellow Israelites. You must listen to him. 16 For this is what you yourselves requested of the LORD your God when you were assembled at Mount Sinai.[a] You said, ‘Don’t let us hear the voice of the LORD our God anymore or see this blazing fire, for we will die.’
17 “Then the LORD said to me, ‘What they have said is right. 18 I will raise up a prophet like you from among their fellow Israelites. I will put my words in his mouth, and he will tell the people everything I command him.
Clearly, the fulfillment of this is not YHWH incarnate but repeatedly emphasized a man, like Moses, a person among the Israelites. The expression "raise up" is akin to Anointed. Anointed by the LORD God. Raised up by the LORD God.
NOTE: The juxtaposition between the LORD God and this man among the people. The LORD God will put his words in this other persons mouth, aka 'the word of God became flesh' means YHWH's words will not be spoken in the uber intimidating way YHWH speaks (such as at Mt. Sinai, that made the listeners feel they were going to die) but a softer, gentler sound from a regular Joe.
Jesus confirms he is this man.
John 12:49 I don’t speak on my own authority. The Father who sent me has commanded me what to say and how to say it. Every epistle confirms only the Father is God. Jesus is
explicitly stating he is NOT speaking from his own authority, which God would do and does, of course.
Logos is the Greek word, were we get the word logic. Of course it is about the product of a reasoning mind and not a person distinct from the one forming the thoughts. It's so ridiculous but that is what trinitarians must stoop to in a vain attempt to support their doctrine, completely foreign to Biblical writers.