What's the point of proposing after the woman breaks up, why do some propose when it's too late?

I've heard of this scenerio happening. It happened with one of my best friends. He proposed 2 months after she left him. Needless to say, she had already emotionally checked-out months before making the decision to leave him and her answer was a definite no. She wanted a romantic setting. She didn't care about the ring's price. It could've been even a very cheap one but at least coming from the heart, while in the relationship and his own free will, not after getting her bored after 4 years and her having to leave to get it.

Honestly if the boyfriend proposes while the relationship is steady and she's happy, there is a 95-99% chance the answer will be a yes vs if he proposes when she leaves him; that reduces it to a 50/50. She might be too hurt or not in the mood by then and there is a chance she isn't going to accept it. So what's the deal with proposing after she breaks up instead of during the relationship when you had the chance to and a bigger chance of approval?

What's the point of proposing after the woman breaks up, why do some propose when it's too late?
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