So, if he desires and he can, then he will. Right?
First, I offer that I understand what you are saying. But God is superior to and totally other than how human fathers are.
The truth is that human fathers do not do so much as their children may boast after making them idols.
But . . . anyway . . . yes God is able to save anyone, as He did with our Apostle Paul who is our example-proof that God is willing to save anyone. Paul, to my understanding, was capturing Christian mommies and daddies, even, then voting for them to be executed. If that was not child abuse, I don't know what is. He was horrible. But God changed Him . . . in this life.
Grace is almighty to change us to become actually like Jesus > Galatians 4:19. So, God is not the one who is about procrastination.
So, first is to not be trying to evaluate and judge God by what we can think up, because we are so limited. But we need to first be seeking Him for Himself, now, for all He is now able to do, or we are being tricked and decoyed to elsewhere.
It seems a bit odd that The Father put us in a place where we have no physical proof that He actually exists (to the unbeliever) yet threatens punishment if we fail to recognize it.
Imagine doing that to your own child.
The problem of proof can be the juror who does not have the ability to evaluate the evidence. If ones pick and choose and demand what is not evidence, yes God will not give it to them!!!!
God is God, Himself. He is our proof, and how His love effects us in us is our proof >
"Now hope does not disappoint, because the love of God has been poured out in our hearts by the Holy Spirit who was given to us." (Romans 5:5)
In us He is proving Himself to us. He is taking a shortcut from just trying to negotiate with people on their own terms which can't help them, anyway.
It is like how you can't really know if there is an elephant in existence unless you actually experience the elephant. By being told and shown photos, even, you do not really appreciate what you are trying to prove

And in case you capture the elephant and break it down to doing what you want, now you don't know what the elephant really is; people try to break God in to what they dictate they want or what they dictate has to be true. This does not work very well

lolololololololol
You can't really know God only by explanation and belief of ideas. How in us He shares with us is how we know whom we are talking about, and how He effects our nature to become following of His example of love >
"Therefore be imitators of God as dear children. And walk in love, as Christ also has loved us and given Himself for us, an offering and a sacrifice to God for a sweet-smelling aroma." (Ephesians 5:1-2)
God's grace effects us so we obey this, obeying His example, pleasing Him by being
sweet-smelling in how we love any and all people.
Therefore, ones are trying to decoy our attention away from this, whether they know this or not. There are plenty of people who say they are Christians, who are decoying away from this, too.
God in us is personally correcting us and perfecting us in His love. But because humans are not personal, like this, not personally and tenderly caring for any and all people, they miss out on this proof . . . because of their own nature being their dictator, and keeping them messed in impersonal and unloving things like anger and arguing and frustration and boredom and loneliness and unforgiveness and dictatorial drives for pleasure and excitement, instead.
So, then . . . by the way . . . being saved includes being safe in God's way of loving > for example > 1 John 4:17-18. So, if we are going to talk about if God saves people, we might consider how the Bible delineates what this means.
I believe that the Father will not let any of His children "go".
Hebrews 12:4-11 is very clear how our Father succeeds in correcting whoever are His children. But there are ones who are not being corrected by God, and verse 8 says what is true of anyone who is not being corrected by God.
I do not believe in an eternal torture chamber for those who failed. It does not fit with the character of God. He does punish His own in the short term though.
I will offer > God's correction is not only punishment. But because of how human fathers have corrected us . . . we can assume this is how our Heavenly Father does

He is totally other than how human fathers are. So, trying to subject Him to standards which we claim are true of human fathers is not wise. Not to mention, Hebrews 12:4-11 is clear how human fathers have not really corrected us.
If you feed on Hebrews 12:4-11, you might notice how our Father's correction does not only change our behavior and how we act around certain people. But He changes our nature so we become more and more obedient, by nature, even cheerful and glad to do all He desires . . . not forced or bribed with inferior rewards of pleasure and status. But God is our Reward > Genesis 15:1 < for seeking Him for Himself > Hebrews 11:6.
And His love does not have us only using people, but tenderly caring for each and every person.
So, is this what you are denying or questioning?? This is what the Bible says, as well as I can tell; but I can see I need to learn and gain much more.
But yes hell is eternal. Because there needs to be a place for keeping
"the spirit who now works in the sons of disobedience" (in Ephesians 2:2). Satan's spirit is nasty and totally stubborn. Only fire can control Satan and his children. So, I consider that the punishment is a by-product of how hell is simply the only practical way to keep Satan and his smelly nonsense away from whoever is planning to enjoy and share with Jesus and God's children for all eternity.
You might revisit Romans chapter nine, where it says God has vessels for honor and for dishonor. There are people who volunteer to be vessels for nasty filth; and so they will go where it goes. You can tell them to get rid of their nasty and bitter and toxic waste, but they insist on not changing, even though it will take them to the flaming sewer which burns with fire and brimstone. Now, that is definition stubbornness, I would say.
"Let all bitterness, wrath, anger, clamor, and evil speaking be put away from you, with all malice. And be kind to one another, tenderhearted, forgiving one another, even as God in Christ forgave you." (Ephesians 4:31-32)