Nice try.
Now lets do a
really in depth study of Genesis 2 shall we?
Verse 7 - God creates the man.
Verse 18 - God decides the man needs a helper, and He
will make one.
Verse 19 - God makes the beasts and birds. Why? Because He's decided,
after making the man (Verse 18) that the man needs a companion.
Verse 20 - None of these non-human creations are up to snuff.
Verse 22 - God makes a woman.
Verse 23 - 'Yes! This is what I wanted!' says the Man.
The whole structure of this is different to the first creation story. The first paints God as the supreme architect, who knows exactly what He is doing. For three days He prepares the universe - 1. light, 2. the sky and the waters, 3. the earth. For another three He fills and organises it - 1(4). sun, moon and stars, 2(5). birds and sea creatures, 3(6). land animals and man. It's all right first time. So on the seventh day God can sit back and rest on His laurels.
In the second story it is not so. God makes it up as He goes along. First a garden, then a man. Then God thinks "Hmmm - how about some companions" so he makes the animals. This doesn't work, so He makes a woman. In each of these second creative acts, the motivation is His, or the Man's, appraisal of the situation thus far.
Any attempt to call this a focussing in on Day 6 is totally missing the very different ideas about God that are behind the two stories.
As a final point, note clearly the word used for God
consistently throughout the first accound, and the word used for God throughout the second. They are different. These stories are from two originally independent religious traditions.