The Word of God teaches:
"This is the work of God, that you believe in Him whom He has sent" (John 6:29), so, clearly, Jesus' words in John 6:29 state for us believers to believe in Jesus whom the Father has sent is by/of/through God
The "believes" in John 3:16-17 and John 3:36 are dependent upon God, not man. No place, not once, does the Bible indicate that man manipulates faith/belief of man; on the other hand, the Bible does indicate that God manipulates the faith/belief of man (John 6:29, Ephesians 2:8-10).
Your interpretation of 1 Timothy 2:3-4 leads to a god that does not get what that god wants, so this goes right back to the previous, Scripturally accurate post that
God had me proclaim to you in this thread.
I'm glad you brought up 1 John 2:2 which states "He Himself is the propitiation for our sins; and not for ours only, but also for [those of] the whole world" (1 John 2:2).
I find it very telling that you failed to include the word "whole" in your citation of 1 John 2:2.
In case you did not know, I'd like to point out that the phrase "the whole world" is mentioned twice in 1 John. That's the same book that you cited, Renniks.
The Apostle John wrote "the whole world lies in the evil one" (1 John 5:19). Applying your interpretation of "the whole world" in 1 John 2:2 into the phrase "the whole world" in 1 John 5:19 means that all the children of God lie in the evil one because you say "the whole world" means every person without exception.
John was writing to God's own persons in 1 John, so the context is believers. This means the letter is contextually from the perspecive of believers. This affects the phrase "the whole world" in 1 John 2:2 such that "the whole world" refers to the chosen of God (John 15:16, John 15:19) who are yet to be imparted faith/belief in the Son of God whom the Father has sent (John 6:29).
The children of God do not lie in the evil one, so "the whole world", or just "world", does not mean every person without exception; furthermore, Christ is the propitiation for we believer's sins, and not only for our sins, but also for the sins of persons yet to be imparted belief/faith in the Jesus whom God has sent (John 6:29), so "the whole world", or just "world", does not mean every person without exception.
Since, as you wrote, "Many Arminians teach that if a Christian renounces their belief in Jesus they can lose their salvation", then many Arminians do not receive the saysing of Lord Jesus Christ Who states "I give eternal life to them, and they will never perish; and no one will snatch them out of My hand" (John 10:28). It appears that many Arminians reject Christ. Christ reveals Himself to man with His sayings!
A person who does not receive the Christ's words is not a Christian for the Christ says "He who rejects Me and does not receive My sayings, has one who judges him; the word I spoke is what will judge him at the last day" (John 12:48).
According to Greek manuscript, your English translation of Hebrews 6:4-6 is in error. I plan to make a subsequent post about this matter.