Benedictine Monasteries are known as such because they follow the 5th century rule of Saint Benedict. The fourth principle of that community rule is that the monastery must cultivate a spirit of forgiveness among the brothers. Forgiveness is the glue that prevents the community from devolving into divisions and even violence or dissolution.
Does it matter whether monks live this way? For sure, as monks are supposed to be living examples that it's possible for all of us to live harmoniously and in the Gospel-way of Jesus. At the heart of Jesus' way is forgiveness, probably the hardest requirement of Christian living. That's why I'm calling it the Golden Leaf: in a nasty world, dropping resentments and getting on with loving people is golden.
Forgiving the offender does't mean, "Hey, no problem, don't worry about it. Let's go on a cruise together." On the contrary, being cheated, slandered, abused, neglected, tricked, manipulated, lied to, ripped off (we get the picture) is a problem. So then what does forgiveness mean?
Forgiving someone means: "From the bottom of my heart (and I may have to reach down as deep as that to find it) I simply wish you well. I wish you all good. I wish you health, peace, change of heart, growth in goodness, salvation, success..." To wish this for anyone is loving.
And if I can't do this, but at least want to be able to wish someone well, I have made a start. We grow, with God's help. It's important as well to remember, that I'm as vulnerable and as capable of error and folly as the next guy. Indeed, some of us have a keen awareness of our own errors over the years and having been the recipient of someone else's forgiveness. In which case, forgiving someone is just a variation on the Golden Rule: Treat others the way you want to be treated.
The Golden Leaf: Dropping resentments and extending forgiveness: "I wish you well."