Yes, and there could be many valid reasons as to why they refuse the housing in the first place, as there are issues of harassment, sexual assault, racism, safety, and other numerous reasons as to why someone might reject these and choose to live on the street. We need to do this, because public buildings often have amenities that the public can use (washrooms, etc.) and security cameras so if something does happen, we have a record of it and are able to report it to the police, there is also usually adequate lighting, which helps keep people safe, and people who wish to do harm think twice as they are visible. Making it harder to find a place to sleep only hurts our most vulnerable, and puts the problem where we can't see it, such as out on Forest Service Roads, or underneath bridges. The only thing that I would add though, is that it's also the responsibility of those who are sleeping there to treat others with respect, don't harass/intimidate or threaten others, and don't leave a mess behind with needles or other garbage that someone could step on/has to pick up.