That is how I see forgiveness also, a letting go of the issue at hand, almost a delegation of the reconciliation to the other party. It's their problem to think over now.

I have a past business partner who more or less, stole all our gear and fled. I let them know how I felt, but told them I wouldn't be actioning it any further than that. I let them know the social consequences of their actions were absolute, there's no way I'd treat them as a friend or work with them again, but I understood why they felt they needed to do it and I hope they find themselves in a better place.