I would agree that it is a false doctrine.
It is attempts to dissect the process of salvation and ultimately adds in things that are not Scriptural.
When God made man, everything that man needs to communicate with God and understand God was in Adam. When Adam sinned, he still communicated and understood what God told him.
Grace is not something that comes before man’s knowledge. (Sorry if we disagree, I know that this is a hot topic)
Galatians 1:6
I marvel that ye are so soon removed from him that called you into the grace of Christ unto another gospel:
Grace is in Christ at salvation and not before. In that, prevenient grace is false.
But God is still not willing that any should perish.
But as far as who salvation may be applied to…
1 John 2:2
And he is the propitiation for our sins: and not for ours only, but also for the sins of the whole world.