To convict or convince is not merely to present truth but to fully persuade to belief in the truth. You can't say one is actually convinced if they aren't fully persuaded. To fall short of conviction is simply to inform. If someone is under conviction, they are not only informed, but wholly won over.
To convict or convince is to bring someone to the point of choosing - to believe and receive, or to remain in unbelief and reject. To be under conviction is to be confronted with truth and pressed to respond - not yet “wholly won over,” which assumes the choice has been made.
NKJ John 16:8 "And when He has come, He will
convict-elegchō the world of sin, and of righteousness, and of judgment:
Bauer-Danker, Greek-English Lexicon of the NT (BDAG)
[BDAG] ἐλέγχω (elegch
ō)
1. to scrutinize or examine carefully, bring to light, expose, set forth
2.
to bring a pers. to the point of recognizing wrongdoing, convict, convince someone of someth., point someth. out to someone
3. to express strong disapproval of someone’s action, reprove, correct
4. to penalize for wrongdoing, punish, discipline
BDAG places John16:8 under definition #2.
It may be helpful for you to utilize some quality references.
I along with BDAG at minimum reject your defining words again to establish unbiblical arguments. When the Gospel and the Spirit bring a person to the point of recognizing the Truth, they have a choice to make.