Let's not take that 2 Timothy verse and put it on a person earnestly seeking God.
One thing to be careful of in all this...The Bible is very clear, as were those who held to preparationism or "seeking" as it is sometimes called, "NO ONE seeks God." They are seeking salvation out of self interest, they are not seeking God. They are seeking God's benefits, but not God Himself. They hate God the whole time they are seeking salvation, but they know that they are lost and He is their only hope. One does not have to be regenerate, only sane, to do that. Edwards has a sermon on a story from the OT about 2 blind men who were kicked out of a city by an invading army and told they would be killed if they returned. After being outside the city for a few days they decided to return. Their thinking was, "If we return we may die, but if we stay out here we most certainly wlll die." The whole thing would take much more time and space to develop than is afforded here. But that's a capsulization.
Well I'm not here to argue, but here is a quote I actually underlined in my B.O.T. hardcover of John Bunyan. It's from his "Come and Welcome to Jesus Christ".
Sorry if the format (spaces between the words) is messed up.
"Object. 2. When I say I only seek myself, I mean I do not find that I do design God’s glory in mine own salvation by Christ, and that makes me fear I do not come aright.
Ans. Where doth Christ Jesus require such a qualification of those that are coming to him for life? Come thou for life, and trouble not thy head with such objections against thyself, and let God and Christ alone to glorify themselves in the salvation of such a worm as thou art. The Father saith to the Son, “Thou art my servant, O Israel, in whom I will be glorified.” God propoundeth life to sinners, as the argument to prevail with them to come to him for life; and Christ says plainly, “I am come that they might have life” (John 10:10). He hath no need of thy designs, though thou hast need of his. Eternal life, pardon of sin, and deliverance from wrath to come, Christ propounds to thee, and these be the things that thou hast need of; besides, God will be gracious and merciful to worthless, undeserving wretches; come then as such an one, and lay no stumblingblocks in the way to him, but come to him for life, and live (John 5:34; 10:10; 3:36; Matt 1:21; Prov 8:35,36; 1 Thess 1:10; John 11:25,26)."
Those seeking God have obviously been worked upon by God. No one comes to God, that is plain:
Rom 3:11 no one understands; no one seeks for God.
But some people do seek God. Does that mean they are, as you say "...seeking salvation out of self interest"?
The Bible says:
Rom 10:13 For “everyone who calls on the name of the Lord will be saved.”
Are those people calling on the Lord only doing it for self interest? But they are saved the Bible says!
So what of people seeking God wrongly?
Joh 6:26 Jesus answered them, “Truly, truly, I say to you, you are seeking me, not because you saw signs, but because you ate your fill of the loaves.
Those people it should be seen aren't seeking God's righteousness or anything of God. They saw a cool thing and wanted more. But the Bible goes on:
Joh 6:27 Do not work for the food that perishes, but for the food that endures to eternal life, which the Son of Man will give to you. For on him God the Father has set his seal.”
I'll leave it here with Barnes' commentary on John 6:26
The miracles which Jesus performed were proofs that he came from God. To seek him because they had seen them, and were convinced by them that he was the Messiah, would have been proper; but to follow him simply because their wants were supplied was mere selfishness of a gross kind. Yet, alas! many seek religion from no better motive than this. They suppose that it will add to their earthly happiness, or they seek only to escape from suffering or from the convictions of conscience, or they seek for heaven only as a place of enjoyment, and regard religion as valuable only for this. All this is mere selfishness. Religion does not forbid our regarding our own happiness, or seeking it in any proper way; but when this is the only or the prevailing motive, it is evident that we have never yet sought God aright. We are aiming at the loaves and fishes, and not at the honor of God and the good of his kingdom; and if this is the only or the main motive of our entering the church, we cannot be Christians.