if you read John 16, Jesus clearly says that when the Holy Spirit Comes, He will "convict the world of sin...because they do not believe in Me". All sinners need to be firstly "convicted" of their sins, and only then they can respond to the Gospel Message.
That POV does not fit the entire passage.
There is nothing in what Jesus says there speaking of the unsaved world getting saved, just that they are declared guilty as charged.
First off the HELPER comes to help the believers, not the world
starting in v8, He convicts the world of sin, righteousness, judgement
Sin as the world does not believe in in Him (no salvation then)
Righteousness, Christ is separated from the unbelieving world, where He goes, they can not come ( again no salvation then, they are unrighteous, not worthy of God and heaven )
Judgement, unbelievers come under judgement, not believers (again no salvation here, those of the world have their spiritual father as the devil, they share the same fate)
Convicts here means to declare the unbelievers guilty, so no salvation then either. If your convicted in court, your declared guilty, in scripture your guilty of your sins.
So the Holy Spirit speaks that to the world.
5 “But now I go away to Him who sent Me, and none of you asks Me, ‘Where are You going?’
6 But because I have said these things to you, sorrow has filled your heart.
7 Nevertheless I tell you the truth. It is to your advantage that I go away;
for if I do not go away, the Helper will not come to you; but if I depart, I will send Him to you.
8 And when He has come, He will convict the world of sin, and of righteousness, and of judgment:
9 of sin, because they do not believe in Me;
10 of righteousness, because I go to My Father and you see Me no more;
11 of judgment, because the ruler of this world is judged.
Strong's G1651 means convict, reprove
to convict, refute, confute
generally with a suggestion of shame of the person convicted
by conviction to bring to the light, to expose
to find fault with, correct
by word
to reprehend severely, chide, admonish, reprove
to call to account, show one his fault, demand an explanation
by deed
to chasten, to punish