Boshet means shameful or abomination.
Did his parents name him that?
In short, the question is whether that's his original name.
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ונר הוליד את קיש וקיש הוליד את שאול ושאול הוליד את יהונתן ואת מלכי שוע ואת אבינדב ואת אשבעל
Bosheth means shame. In Jewish though "shame" is a praiseworthy character trait. "Shame" means that one is "ashamed" of doing the wrong thing, this is a characteristic to strive for.