I do like this quote, but it did remind of something else I once said to a close friend of mine. "Ah yes, feelings do count, just beware of the child inside you who would let the feelings overrun you and others. You then become something of which you were not born to be."
Yes, our over-sensitive feelings can be destructive. But I think that this quote is about how we affect others, and how it important it is to regard the feelings of others in all we say and do.