...thinking that there are two kinds of sorry. There is the sorry imbued with regret.
And a pure sorry. The kind that is merely asking for forgiveness. Nothing more.
Sometimes we do say sorry without the utmost sincerity of admitting our mistakes, we just do say "sorry" but along with it we justify why we had done it, trying to sound reasonable and be free from guilt. Trying to silently blame the other person for our own mistakes.. The fact that you had hurt someone, a pure sorry would suffice or never be sorry at all if you can't take responsibility of what you had done wrong.