That scripture proves the limited scope of His death, for the lost sheep of the house of Israel. The woman He was speaking to was a Gentile. That was part of the Mystery, that Gentiles belonged to Spiritual House of Israel, she was one of His Lost Sheep He came to save.
Christ’s life, not his death is what saves. (Rom. 5:10; 1 Cor. 15:17)
Sinner is saved by regeneration, not atonement. (Tit. 3:5)
Glorification is what’s limited, not atonement. (Rom. 3:23; 8:17-30)
When Christ said, “It is finished,” on the cross, everyone was still in their sins as per 1 Cor. 15:17.
Atonement is one component of many components in salvation. It alone is not what saves. (Tit. 3:5; Rom. 5:10)
Atonement is a prerequisite for salvation, not the execution of it. (Rom. 5, 8; 2 Cor. 5; Tit. 3:5).
The Atonement must be received. (Rom. 5:11, 17; Jn. 1:12; 1 Cor. 15:1-4)
The Atonement does not glorify anyone. (Rom. 8)
What Calvinists call “the golden chain of redemption” contains no direct reference to the atonement. (Rom. 8:29-30)
Belief that salvation for anyone was secured on the cross constitutes a denial of the necessity of the resurrection (1 Cor. 15:17)
Salvation is eternally secured by the sealing of the spirit, not “election.” (Eph. 1:13-14; 4:30; 2 Cor. 1:22)