The "less money" part is not so obvious. The article does not go in details about that part, so it's very hard to say whether it's BS or not. A house needs frequent maintenance, renovation, cleaning, etc... and this costs a lot of money in the mid-long run, as facilities degrade.
As for the ideology itself, I wonder how people who are working just to get enough money to survive and rent a place feel about this. I would be fine with the idea that a homeless person gets a home for a while, as long as they actively sort their life out and find a way to get to work again in a reasonable timeframe. Unless they are mentally ill, of course.