"To a hammer everything looks like a nail."
Oftentimes when people attempt to apologize, what they are actually saying is that the situation in question doesn’t meet the three criteria, that it isn’t something that warrants an apology.
The most common false apology, at least in my experience, attempts to reject ( i ) by way of explanation. “The reason why I did x was because…” What this false apology is attempting to do is establish that the action had a sufficient and reasonable basis such that the “offense” is totally understandable.