I'd imagine it's the difference between businesslike sorry-not-sorry stuff like: "We're sorry to inform you that we are not moving ahead with your application", and actually trying to apologize to someone. The not-actually-apologetic stuff is basically just normal parts of polite speech for the culture, actual apology with emotion or intent to make redress or request forgiveness is very different.
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I'd imagine it's the difference between businesslike sorry-not-sorry stuff like: "We're sorry to inform you that we are not moving ahead with your application", and actually trying to apologize to someone. The not-actually-apologetic stuff is basically just normal parts of polite speech for the culture, actual apology with emotion or intent to make redress or request forgiveness is very different.