My relationship with my mother is ethically different from my relationship with Mary. I owe my mother honor, support, care, respect. In comparison, I owe that other mother zip. Zero. Nothing.
You make an interesting arguement. A friend of mine is married to an incredible woman -- brilliant, beautiful, bilingual, and 20-some years yonger than my wife. If I start cultivating an affection towards my friend's wife that comes anywhere near the affection I have for my own wife, will God be pleased? Think about it ...
Knew a young guy once upon a time who cultivated elderly widows. He assumed that these other guys' mothers would enrich him, if he played them right. At the expense of the legitimate heirs.
Unless Mary has been magically transformed into a prayer-hearing goddess, the mother/son/stepson relationships have already fulfilled their purposes, already played out. Since my mother is still alive, this story is still being written.
Would you call yourself "a beloved disciple" of Christ? Do you stand faithfully at the foot of His cross?
To me, it seems that, at the most basic human level, we respect the parents of those we love. Even if those parents are egregious sinners, we ought to at least respect their bringing into the world the person we love. God is not the God of the dead, but of the living. If Abraham, Isaac, and Jacob "live to Him," then so does the mother of Jesus. "Dead" (from an earthly standpoint) is just a materialist obfuscation, if we believe in eternal life.
Your gift-wrap analogy suggests that you do not believe Jesus is a human being. If He is, then He takes His human nature, His human body, His human genetics from His human mother. Where else would His humanity come from?
The belief that Jesus only appeared human, but in reality had only the nature of divinity, is the Monophysite heresy, and is related to the Manichean belief that created matter, including humanity, is so evil that the Divine would not be associated with it.
Have you ever asked anyone to pray for you?