Why would people quote TULIP and then not quote reformed people? Why? It is normally to set up a straw man.
The TULIP concept was actually a response to the Remonstrants and their protest against reformed theology. The two different groups had completely different concepts of the atonement. The Remonstrants wrote from the perspective of a General Atonement. Such a one was Hugo Grotuis, and friend of Arminius. Hugo Grotius defended the "General Atonement." He said that Christ died only to satisfy the justice of God, and then God can offer salvation to the whole world. In other words, Christs death saves no one, but only makes men savable.
Opposite this was the theology of the Dutch Calvinists, and other reformed groups from around Europe (I believe the French King refused to allow the Huguenots to come). Their view of the atonement is called the "penal-substitutionary" view. TULIP is tied in with the penal-substitutionary view of the work of Christ's cross. It is an actual salvation. This view conforms to the sola's, especially sola gratia (grace alone). The cross saved people and saved them to the uttermost.
All this ties in with views of Election. The scriptures use the term election in different ways. Christ was the elect of Israel. Israel was an elect nation. Then also, the scriptures uses the term with regard to personal individual election. The question of the thread is to define election, and it seems to me the OP was asking about individual election. The big question, is individual election "conditional" or "unconditional."
I think any conditions at all would violate Romans 9:11
11 for the children being not yet born, neither having done anything good or bad, that the purpose of God according to election might stand, not of works, but of him that calleth,
Individual election occurs long before the birth of the Children. The idea of this verse is that nothing Jacob or Esau did or could do affected God's election in any way. If faith were the basis of election, this would be the perfect verse for Paul to say that. In verse 15, the basis of election is made clear.
15 For he saith to Moses, I will have mercy on whom I have mercy, and I will have compassion on whom I have compassion.
There is nothing in us which is the basis of election, the basis is in God himself. Notice how verse 16 reinforces this concept.
16 So then it is not of him that willeth, nor of him that runneth, but of God that hath mercy.
Election is not of the one doing who "willeth." Election is not of him that "runneth." The text is clear that the basis of Election solely rests in God who is the one showing mercy.
As for we humans, we are all of the same clay.
21 Or hath not the potter a right over the clay, from the same lump to make one part a vessel unto honor, and another unto dishonor?
There is no difference between us an unbelievers as far as election is concerned. If God chose us because he looked into the future and saw faith, then it would not be the "same lump" of clay. We would have been different from the start and God would have made the lump of faith into a vessel of honor. We are of the same lump.
The question is why election? Why is election so important to God? I think God reserved that decision to himself for one main reason. He is maintaining his own free will. God is the ultimate free will in the universe.
We might all have free will too. As Rebels and sinners we all use that free will to choose sin. That is because we have a sinful nature. By nature, we are dead in our sins and we all use our free will to be children of wrath. This is our nature. See Ephesians 2:1, 3
1 And you did he make alive, when ye were dead through your trespasses and sins,
3 And you did he make alive, when ye were dead through your trespasses and sins,
There was no faith in anyone's future without God giving that gift of faith. Faith is granted to the believer, not generated by the believer himself of his own righteousness. See Philippians 1:29 because to you it hath been granted in the behalf of Christ, not only to believe on him, but also to suffer in his behalf:
So in unconditional election, God chooses some, gives them faith, and saves them. Then salvation is all God's grace. Grace is totally sufficient for salvation. Nothing more is needed other than God's grace. Grace is not merely just necessary, not absolutely sufficient. See ya all elsewhere.