Why do some cheaters want to stay with the person they cheated on?

After reading the post of what love cheaters experience, I got my own spinoff question.

It's not about why some people take back and stay with the cheaters. That can be explained by low self-esteem. I'm switching the question... why does the cheater wants to stay with the person they don't love nor respect. What are they exactly gaining from getting taken back? Why can't they happily go with their AP (affair partner)?

They planned the cheating and were probably neglecting their partner in the progress. When caught, some beg for a 2nd chance. Why do they (the cheater) want to stay with the cheatee?

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Even if the cheater really reforms and never does it again, why would they want to stay in a dysfuctional relationship with someone that will never trust them, that will have triggers, that will be hurt for so long?
They can just easily let the cheatee go, free them from such torture and misery. The cheater at some point will get tired of their outburst, their distrust, the argument. The cheater isn't gaining anything in that relationship either.
Why do some cheaters want to stay with the person they cheated on?
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