This kind of apology has little to do with you, it's more to ease the abuser and instill a sense of 'forgiveness' to them. They may take it as a sign that it wasn't such a big deal and that 'it's ok'.
If they are forgiven for their abuses does it not make further abuse seem more acceptable?
Certain conditions must be met for genuine forgiveness, it has to feel right.
Some people do not deserve to be absolved of their terrible deeds.
You want forgiveness? Talk to Jesus...