Yes the false preacher says were were saved at the cross while the true gospel preacher will teach that while the sins of the whole world were cover we are only saved by the grace of God through faith in the risen Christ. Those that freely trust in Him will be saved those that chose to reject Him will be lost.
1Jn 2:2 and
He Himself is the propitiation for our sins; and not for ours only, but
also for those of the whole world.
Rom 5:10 For
if while we were enemies we were reconciled to God through the death of His Son, much more,
having been reconciled, we shall be saved by His life.
Joh 3:18
Whoever believes in Him is not condemned, but
whoever does not believe has already been condemned, because he has not believed in the name of God’s one and only Son.
Eph 2:8 For
by grace you have been saved through faith; and that not of yourselves,
it is the gift of God;
Rom 6:23 For the wages of sin is death, but
the free gift of God is eternal life in Christ Jesus our Lord.
Rom 10:9 that
if you confess with your mouth Jesus as Lord,
and believe in your heart that God raised Him from the dead,
you will be saved;
Act 16:30 and after he brought them out, he said, "
Sirs, what must I do to be saved?"
Act 16:31 They said, "
Believe in the Lord Jesus, and you will be saved, you and your household."