This doesn't seem dishonest to me. There are times when people have a basic disagreement over whether something was right or wrong, but where butting heads over it serves no useful purpose.
Such an apology (if sincere) would, I think, be better translated as "I don't feel that what I said/did was incorrect, but I do care about your opinion and your feelings, and I regret that I've caused tension between us.".
Contrast that with a complete lack of apology, which might be translated as "I feel that what I said/did was correct, and I don't care how it affected you."
After receiving such an expression of regret, the offended person has to decide whether to accept it for what it is and go on with life, or whether the offense was grievous enough to warrant breaking off relations.
no subject
Such an apology (if sincere) would, I think, be better translated as "I don't feel that what I said/did was incorrect, but I do care about your opinion and your feelings, and I regret that I've caused tension between us.".
Contrast that with a complete lack of apology, which might be translated as "I feel that what I said/did was correct, and I don't care how it affected you."
After receiving such an expression of regret, the offended person has to decide whether to accept it for what it is and go on with life, or whether the offense was grievous enough to warrant breaking off relations.