Are bullies similar to cheaters, only sorry when caught?

Long ago, my main bully would have kept going on if I never had reported her to the office. When we almost got suspended for fighting (I hit her back), all of sudden she's in tears and apologizing.

This is the same reaction when someone cheats repeatedly until either getting caught in the act or discovered. All of the sudden they're begging, pleading or thinking of working it out like never before. Both sounds like biggest cowards to me.
Are bullies similar to cheaters, only sorry when caught?
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