The Christian conception of a Triune God is Himself intrinsically engaged in love, the willing of God of another. For while God wills the Good of Himself, there is the interior dynamic of the Father willing the good of the Son, and the Son willing the Good of the Father. God is love in its truest, most purest form, of which human love is but a reflection in a pool of water. The image of God is best expressed among intellectual beings engaged in love of another, willing the good of another, and an outpouring of self for the good of another. That is what is going on within the Trinity, and that is what is going on between God and creation. Creation best exemplifies God when it wills the good of God, when it gives itself back to God as the Son gives Himself to the Father, and when it expresses that love with other intellectual beings that are part of creation (are these not the two greatest commandments that Christ gave us?). This is the highest good, this is what it means to conform oneself to Christ, this is what Christians see in Christ’s mission, not just to do something for us, but to demonstrate for us what it means for a human being to approach God and to be in the image of God, and to allow us to participate in that. And a creation absent this quality is much, much further removed from God than a creation of robotic beings simply existing without deficiencies.
Is a Triune God necessary for my overall argument in this topic to work? No, I don’t believe so. There is the relationship between God and Creation. There is the matter of him being an intellectual, free-willing being. But the Christian understanding has some extra poetry, at least to me.