The explanation of Brother Eli gives us a striking balance, exposes the contradiction in the idea of reincarnation using the Scripture
If reincarnation were truly meant to perfect people, then humanity should be improving morally and every supposed return. But what actually we see today is what the Bible has foretold us that evil men and deceivers will grow worse and worse.
Instead of making progress to the immoral extent, more violence and more coercion is going to happen in the world. This point about being given only one life, not multiple cycles but it is so powerful.
Hebrews 9:27 is clear. It is appointed that a man once to die but after this judgment. We are not given endless time. We are given one precious opportunity to live and after then we are going to face our judgment and we are going to be saved. We are accountable for all we have done.
But I also like that the logical conflict is between evolution and reincarnation. Those who claim men rise from animals, the other claims men return to animals. Both cannot be true but both can contradict the Biblical teaching that God creates human in his own measure.
This teaching is just a matter to value the life God has given us and we must not use it wisely for salvation.