The gospel of being saved by faith, not by works, contradicts the supplemental teaching of being saved with works following.
The problem is it depends on a game with words, that accepts 'with' works, but rejects 'by' works, which has no grammatical significance, and is not ever used by God to make a difference pertaining to faith and works.
It's why Paul condemns playing word games with the gospel and doctrine of Christ, because it only produces endless useless arguments over words, rather than promoting godly living;
1Ti 6:4
He is proud, knowing nothing, but doting about questions and strifes of words, whereof cometh envy, strife, railings, evil surmisings,
And as well all disengenuous games, it backfires in the end. In this case, salvation by faith, not by works, fails any time works accompany salvation, and are accepted with salvation. Such as being saved with works following.
Being saved by faith alone without works, forbids ever being saved with any works at any time, where at the first or following,
at a later time.
Is not salvation by faith, also with faith? Yes. Is not salvation by faith always with faith? Yes. So then the gospel of salvation by faith can never be without faith.
And so, if salvation is ever with works, then salvation must be by works, else salvation with faith is not by faith.
Therefore, if someone preaches the gospel of faith, not by works, then the salvation must always be without works, and only by faith alone. Esle salvation with works becomes by works.
But if anyone preaches the gospel of salvation by faith with works following, then they must preach being saved by works following. Else by faith can be without faith, since with works cannot be by works.
Therefore, the gospel of salvation by faith with works following, is being saved by faith and not yet by works.
This is why justification by works is with works following salvation by faith.
God's salvation is never by faith alone, which would be never with works now nor later. That is the false gospel of salvation by faith alone without works, and
never by works.
The gospel we see in Eph 2 and James 2, is that salvation is by faith with works following, to be justified by works with faith.
If no man can be justified by works with saving faith, then no man can be saved with works by faith. Else salvation with faith is not by faith, even as salvation with works is not by works.
Making the difference between faith and works is one thing, but changing the divine principle of by and with faith, to with and not by works, also must then apply to with the will of God, and not by His will.
We add Titus 3 to make difference between the works to be justified by, and those works never justified by God: No works of man's own will and righteousness, which can be boasted of, can justify any man with God.
Only God's works following salvation by faith, that we do through Christ Jesus, can justify every man who is saved by faith in God.
1Pe 1:18
Forasmuch as ye know that ye were not redeemed with corruptible things, as silver and gold, from your vain conversation received by tradition from your fathers;
1Pe 1:19
But with the precious blood of Christ, as of a lamb without blemish and without spot:
1Pe 1:20
Who verily was foreordained before the foundation of the world, but was manifest in these last times for you,
1Pe 1:21
Who by him do believe in God, that raised him up from the dead, and gave him glory; that your faith and hope might be in God.