Is it really important to feel guilt or remorse?

I can feel uncomfortable about certain things and maybe be like ''Wow that was stupid, shouldn't have done that'' but then I forget about it in minutes. I don't think about it too much.

I'll give you an example of how my mind works:
If I were to egg a car or break someone's window on purpose (never done it), I might worry for a bit if others saw me but then move on and it's forgotten. No actually guilt or remorse. Long ago (I'm now 25), I've discovered my inability to feel those two.

But seriously is it really important to feel guilt or remorse?
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I don't break the law nor go out of my way of harming people. I'm not on the extreme level of the curve. I just wouldn't feel much if I were to hurt someone's feeling. I don't laugh nor feel bad. I just don't care and feel nothing.
Is it really important to feel guilt or remorse?
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