Problems

Every one is different. No two people are the same.
Conflict arises from a lack in communication, and when there are so many different people in the world, communication is bound to get difficult.

When one can't correctly interpret another's thoughts or feelings by their actions or words, it's a problem. When the truth comes out and one gets hurt, it's a bigger problem. When one turns to thoughts of nothingness and meaninglessness in one's loneliness, it may be cause for concern.

If people have been hurt around you, because of something you didn't actively do, but which, for lack of communication, resulted in hurt feelings, maybe giving them space to heal isn't the best solution. Maybe you ought to reach out and just be their friend in their loneliness. You may think the last thing they want is for you to talk to them, but the truth is, they probably would really like your friendship, and for you to show them that they still deserve kindness.

So don't wait for them to heal on their own. It will probably never happen. Reach out to them. Call them and show them they're not alone.
Space is bad.