Magic words? Did I say anything about magic words?
Everything you said was about magic, aiki.
Christianity is not about getting the words right in order to ensure a hotline to God, which is magical belief, but about getting the heart right, which is what Christ tells us, over and over, to do.
Magic uses words to coerce the deity; if you get the words right he has to answer. If we say x, God has to do y. This is man in control of God, and is not what our faith is about. Any prayer which is coercive is attempted magic. God cannot be coerced.
From which you may well deduce that much of modern Christianity is built around magical thinking. Indeed it is. It shouldn't be, but it is.
a non-Christian addressing prayers to the Great Whatever is a useless endeavour.
I assume you can back up that assertion with Scripture? It sounds like poppycock to me. You seem to be suggesting that God is rather irrascible; he hears a seeker trying to find him, addressing him as, 'Great Whatever' and decides that is just not good enough, so he turns his back.
What exactly makes it not good enough, in your view? Are not all our efforts weak and feeble? Does he not make allowances for each of us, and himself supply what we lack?
Your idea that we can get it right and have some kind of hotline, while struggling seekers who fail to get it right are somehow condemned as inadequate is quite simply wrong. The gospel does not say this, nor does Christ say this. He meets each one of us where we are; he does not say, I'm sorry, you have got the words wrong.
If the words we use are truly "irrelevant" in prayer, try addressing God as Satan or refer to Him using foul words.
Neither of these options is possible if the heart is right before God.
Similarly, calling on God, or even Christ, by name with malice, anger, hatred, animosity or any other form of malevolence in your heart is actually addressing satan, heard by satan and acted on by satan.
In our faith, it is the heart which matters, not the incantation used.