Scripture only speaks of two kinds of men.
Kata sarka
Kata Pneuma
Those under the dominion of the flesh, those under the dominion of the Spirit.
Roman's 8 is quite clear,those without the Spirit are not believers.
I agree that if a person does not have the Holy spirit he is not saved .
But Paul is addressing the church. ( those that have the Spirit.
notice in 1 cor 6
6¶Howbeit we speak wisdom among them that are perfect: yet not the wisdom of this world, nor of the princes of this world, that come to nought:
7But we speak the wisdom of God in a mystery,
even the hidden
wisdom, which God ordained before the world unto our glory:
So paul is and can speak among those Corinthians who are mature ( perfect) the wisdom, the deeper things so to speak. He continues this focus all the way up to ...
10But God hath revealed
them unto us by his Spirit: for the Spirit searcheth all things, yea, the deep things of God.
11For what man knoweth the things of a man, save the spirit of man which is in him? even so the things of God knoweth no man, but the Spirit of God.
12Now we have received, not the spirit of the world, but the spirit which is of God; that we might know the things that are freely given to us of God.
13¶Which things also we speak, not in the words which man's wisdom teacheth, but which the Holy Ghost teacheth; comparing spiritual things with spiritual.
14But the natural man receiveth not the things of the Spirit of God: for they are foolishness unto him: neither can he know
them, because they are spiritually discerned.
15But he that is spiritual judgeth all things, yet he himself is judged of no man.
16For who hath known the mind of the Lord, that he may instruct him? But we have the mind of Christ.
Paul here doesnt suddenly drop in a verse about lost people Hes making a point that He who is ' spiritual ' which is still the same mature person he is saying in verse 6 . contrasted with the Natural man ( The saved believer who is not ready for more ' spiritual ( mature ) wisdom . Why ? because they are behaving carnally . Check the Greek if you must. The Natural ( fleshy ) v ' Carnal ( fleshy ) it's just a synonym. Chapter 3 flows from chapter 2 .