Hi Bradford,
As I see it the breath of life in Gen. 2:7, is the same life/spirit that He gives all living creatures.
Now the Spirit in John 4, tho they both come from God, is not the same as the breath of life/spirit.
John 4:23 But the hour is coming, and is now here, when the true worshipers will worship the Father in spirit and truth, for the Father is seeking such people to worship him.
v. 24 God is spirit, and those who worship him must worship in spirit and truth."
In John 4:24, this spirit and truth is only given to those chosen few, it is the Holy Spirit/Comforter.
Joh 14:26 But the Comforter, the Holy Spirit whom the Father will send in My name, He shall teach you all things and bring all things to your remembrance, whatever I have said to you.
This Holy Spirit/Comforter is not given to the called, those preordained from the creation of the world are the only ones who will receive it in this life.
Eph 1:4 even as He chose us in Him before the foundation of the world, that we should be holy and blameless before Him. In love v.5 He predestined us for adoption through Jesus Christ, according to the purpose of His will, v.6 to the praise of His glorious grace, with which He has blessed us in the Beloved.
But I might add, any receiving the Spirit must remain faithful. There would not have been the admonition to remain faithful if all do.
Rev 17:14 ... And those with Him are the called and elect and faithful ones.
The no. 8 article in Ray's LoF series has a section in it on this matter. I have an excerpt, but the article has much more about it.
http://bible-truths.com/lake8.html ---------------------------------------------------------------
FROM GLORY TO GLORY
We need to get very serious for a moment. Salvation culminates for the believer in the First Resurrection to spiritual life and immortality. However, before that time, during the life of each believer, there are warnings in the Scriptures about ways that one can become disqualified from being in the first resurrection. Let’s notice just a few of them:
"Wherefore let him that thinks he stands take heed LEST HE FALL" (I Cor. 11:4).
"But I keep under my body, and bring it into subjection: lest that by any means, when I have preached to others, I myself should A CASTAWAY [Gk: disqualified]" (I Cor. 9:27).
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I thought I could give an simple answer and one thing lead to another.
Oh well hope this helps
mercy, peace, and love
Kat