No worries. It does rely on some knowledge of American subcultures though, and how much some of us like fucking with words. We dont give no fucks how we sound, often.
Homelessness, then, is a major wedge issue, particularly with the right, as they try to pin the blame for it on their opposition. That wedge-issue-ness is tied into feelings, how they feel about homeless. When you change the name though, that context can change. The new name doesn't summon the old feelings anymore.
This is why you always see the right put so much focus on controlling language, to them language is perception, and is more cultural and individual than dem voters tend to see it.
So you'll frequently get this ring-around-the-rosie where the left comes up with terms, the right turns them into insults, the left comes up with new ones, etc etc.