Agree with others about winters. And it breaking down, which if it is your primary transportation mode, is going to be a problem. RVs to me are just boats that go faster and don't rock on the waves. They do need to be winterized as they don't really have the proper insulation, and if you do insulate (there are people who live in marinas year round who put up board insulation on the insides of the boats, etc), you usually get condensation issues. For water, RVs have tanks, or if you are at a campground, you bypass the tank from the running water hookup. So even if you don't use the tanks, there is water in the lines. If it freezes, then it breaks, and floods your RV. So during < 32 deg times, you either need bottled water, or really winterize the RV. Same with waste, which is stored in a holding tank. If it is a big unit, then driving it around as your primary vehicle is not practical. If you want to run out for anything, food, movies, meet people, this becomes a hassle. As others have said, having truck to pull it, and then leaving it is a better idea. If you are up for modified living in your RV, find a Planet Fitness, so for $10 a month you have use of any planet fitness's showers and gym. In the winter, don't fill your tanks, use bottled water or just drink beer. Use paper plates.
Your idea is great if you lived in FL, CA, TX, etc. Which always has me wondering, if you are homeless, why the eff would you ever live in a cold clime?