Ah, so you're a landlord, that's why you're so evil. Your whole argument here is basically "I can't exploit them for maximum profit while doing basically nothing so they all are subhumans who don't deserve help". That's vile, man.
Also, I'll take an educated guess and say that you're in New York. And since it's America, these homeless people didn't have access to psychiatric or narcologic help during their stay, and probably didn't have any relatives/friends/social workers to support them (you and your friends clearly never offered help beyond what's required for you and them to receive money). And battling mental illness alone, while still stressing about a job and where to love after the contract expires and they're kicked out because they're too disabled to look after themselves doesn't lead to a speedy recovery. Same applies if they're battling addiction.
At the same time, yearly police budget of NYC is 5.8 billion dollars. Given that there are around 100 thousand homeless people and NYC median rental rate of ~3100$/month for a studio appartment, NYC could pay for a full studio appartment for each homeless person for the whole year, and it would cost under 2/3 of the police budget. So yeah, it's not THAT expensive in the grand scheme of things.
Most likely, considering the context, yes. But there were posters made during WWII with the slogan "Ждем с победой" ("Waiting for [you to return bringing] victory" or something like that. Here's one by Nina Nikolayevna Vatolina, for example, maybe there were more).
But it's not like it really matters lol