You are Modalist because you say that Father, Son and Holy Spirit are metaphors like Burning Bush, Mother, Rock, and all the other metaphors employed for God in the Bible. If this were true, then Father, Son and Holy Spirit are not persons, but simply the expression of human perceptions. This is Modalism, where Father, Son and Holy Spirit describe different aspects of how the one God is perceived by humans.
I said that in the context of "all language is metaphor". Fr. Richard Rohr says the same thing. https://cac.org/all-language-is-metaphor-2017-01-11/
Richard Rohr is a gnostic, so I wouldn't put much stock in what he says.
The words "my father" is not my father. It represents my father. So do the words, "Paul Stoffregen." Even those 14 letters on a page is his name, they are not my dad. Since they "represent" my dad, the words are metaphors.
If the words, Father, Son, and Holy Spirit, are not metaphor; what are they? Why wouldn't ὁ πατὴρ καὶ ὁ υἱὸς καὶ τὸ ἁγιος πνεῦμα be more of whatever you want those words to be, since those are the words in the Bible? We know that Jesus used, "abba" in reference to God. If the words are God, we'd better use the same word Jesus used. If the words represent the truth about God, then we can translate the meaning of that word into many different languages.
Brian Stoffregen is a person, not a metaphor. It morally and ethically acceptable to torture a metaphor, although it may be aesthetically in bad taste. It is evil to torture a person.
You appear to be Unitarian because you even deny the uniqueness of Father, Son and Holy Spirit. You argue that they are metaphors that are in no way unique, but equivalent to all other Biblical metaphors. There is nothing essential about the three metaphors. Regular modalism is an attempt to explain how Father, Son and Holy Spirit can be one God, and not three. It grows out of an acknowledgment that this is indeed WHO God is. You deny that Father, Son and Holy Spirit is WHO God is, but instead claim that it is one metaphor among many that expresses WHAT God is to us. If what you assert were true, there would be no reason to insist that God is a trinity. God could just a easily be a quaternity, a , quinternity, or a union of any number of metaphors.
I do not deny that Father, Son, and Holy Spirit is WHO GOD IS. I argue that these English words, like all words, accurately represent our Triune God, the words are not god. Thus are metaphors. It is the language we use to talk about the three persons of the Trinity. (In olden days it was Father, Son, and Holy Ghost. At some point, it was decided that "ghost" was not a good word to represent the third person of the Trinity.) If we were speaking Spanish or Japanese or Korean or Finnish, we would use different words to represent the same truth about the Trinity.
I argue that persons reveal themselves through language. It is only through language that another person can reveal him/herself to me. Apart from language we can only know things, not persons. One way that we reveal ourselves to others is by saying, "Hello, my name is..."
As a Christian, I believe that God is not a thing, but a person, or more accurately, three persons. God reveals Godself by speaking, through the Word. God reveals Godself in the most personal manner possible through the Incarnate Word, Jesus of Nazareth, the Christ. It is through the very words that Jesus spoke that God reveals Godself to us. The words of Jesus do not present a barrier that we must overcome. They are God's self revelation.
The metaphorical theology that you espouse is based on the assumption that we only know God as an object, but not as a person. Just as we do with a rock, a tree, a car or a pet, we give God names. But God never speaks and gives us his/her/its name. In a sense, we throw as many metaphors at God as we can, waiting to see what sticks. In this view, God is like a multifaceted object. Every time a metaphor is added, we gain a fuller picture of who God is to us.
If your approach was correct, "trinity" would be a metaphor just like all the rest. You would no more know that God is triune, than you would know that God is Father, Son and Holy Spirit. What you would be dealing with would be an unknown God to which you attached those metaphors that best expressed your own perception.
That's one of the key flaws about your argument. Apart from God's self disclosure through language, you would never know that God is Triune. At best, you might know that you perceive God to be triune. "Triune" would then be nothing more than your own preferred metaphor for God. People who perceived God to be a monad, a duality, a quaternity, or hepternity, would have as much chance of being right as you would.