Sorry. I mistook what you were wanting to discuss.
There is a major difference between "false teachers" and those caught in a "falsehood". I think that's where the difference would be applicable. Paul was rebuking the leaders that were causing these Galatians to get caught in trying to justify their faith by the law. However, his address to those caught under the "spell" he speaks differently.
Gal 4:8 But then, indeed, not knowing God, you served as slaves to those not by nature being gods.
Gal 4:9 But now, knowing God, but rather are known by God, how do you turn again to the weak and beggarly elements to which you again desire to slave anew?
Gal 4:10 You observe days and months and times and years.
Gal 4:11 I fear for you, lest somehow I have labored among you in vain.
Gal 4:12 Brothers, I beseech you, be as I am; for I am as you. You have not injured me at all.
Gal 4:13 But you know that through infirmity of the flesh I preached the gospel to you before,
Gal 4:14 and you did not despise my temptation in my flesh, nor did you spurn it. But you received me as an angel of God, as Christ Jesus.
Gal 4:15 What then was your blessedness? For I bear you record that, if you were able, plucking out your eyes, you would have given them to me.
Gal 4:16 So then did I become your enemy speaking to you the truth?
Gal 4:17 They are zealous for you, but not well. But they only desire to shut you out, that you be zealous to them.
Gal 4:18 But it is good to be zealous always in a good thing, and not only in my being present with you.
Gal 4:19 My children, for whom I again travail until Christ should be formed in you,
Gal 4:20 even now I desired to be present with you, and to change my voice; for I am in doubt as to you.
Gal 5:13 For, brothers, you were called to liberty. Only do not use the liberty for an opening to the flesh, but by love serve one another.
Paul rebukes the teachers trying to corrupt his disciples. However, he's trying to draw back out of this error saying to those caught --
Gal 6:1 Brothers, if a man is overtaken in a fault, you the spiritual ones restore such a one in the spirit of meekness, considering yourself, lest you also be tempted.
So with every situation, and with every person -- is a difference in restoration. Some are simply "false teachers" while others are merely caught up in a false doctrine.
Your brother in the Lord with much agape love,