I've contemplated on living in a van and actually still am. To answer your question, I don't believe you are homeless. Your van is your home, all you are doing is reducing the amount of room you have and the unnecessary expenses you have that comes with a traditional apartment or house. I think living in a van can bring you lots of freedom, you are not tied to one area, it will make your life more interesting in my opinion. Proper sanitation and temperature is the biggest downside of living in a van...especially if it's too hot!