This makes no sense to me in terms of logic.

Let us assume God is logically constrained, though that was always a problem for me because it makes logic the supreme being basically, that before which even God bows. But let us assume that.

A free world with only people who choose to never commit sins would be a heaven with 0 people besides Jesus in it according to standard Christian theology. Everyone sins, including Christians according to the standard Christian theology. If the only people who could get into heaven would be those who would never ever sin again, we are talking 0 people in heaven. It goes directly against the idea of Jesus as dying for our sins. In terms of Christianity, that is heretical. The explanation might work in some other religion, but it does not work in Christianity. And in those other religions, they would have to acknowledge almost everybody as going to hell unless the number of sins they have is amazingly minuscule, which certainly does not apply to Christianity. According to standard Christian doctrine that most Christians have believed in since from fairly close to the beginning, Hitler could have repented and entered into heaven if he was sincere at the time. This also includes horrific serial killers who were executed soon after their conversion, meaning they may have been quite likely to sin again regardless of how much they fully believed in Christ. Having these people not go to heaven despite sincerely repenting would go against all the Christian theologians who believe in free will that I have ever heard of.

It is not merely a question of original sin, as original sin can be removed and they are still generally guaranteed to sin with maybe a handful of exceptions.

Did you read Romans? https://www.biblegateway.com/passage/?search=Romans+1%3A18-3%3A20&version=ESV "19 Now we know that whatever the law says it speaks to those who are under the law, so that every mouth may be stopped, and the whole world may be held accountable to God. 20 For by works of the law no human being[h] will be justified in his sight, since through the law comes knowledge of sin."

Your argument would imply that no one is in heaven. Your idea of dividing them up is something that goes against standard Christian doctrine because the standard doctrine says that no one is worthy of getting into heaven and that is why Christ was needed to atone for our sins and belief in Christ is what allows a person to get into heaven. Once you start dividing up sinners and nonsinners, everyone is in hell. This isn't some special part of Christianity. It has been a basic part for almost every version of Christianity since early on.

This would only work in a religion other than Christianity. And even then, it leads to the idea that there are less people in heaven than in an apartment complex unless the number of potential sins is near 0. Which cannot apply to a religion with thought sins like looking at a woman with lust in your heart.

Though personally, if God is logically constrained, I would prefer to worship the almighty logic.