Broken doesn’t mean unlovable. Many people who were broken have been great scientists, poets, artists, musicians etc. It may be that one understands why someone is broken and either chooses to ignore it or thinks they can help. Perhaps they just can’t stand the thought of being alone. This made me think of a quote from Thomas Jefferson of all people, “...and were we to love no one who had imperfections, this world would be a desert for our love.”