Since I’m not American I keep forgetting about your for profit churches. The concept is just too foreign to me. When I think church I think of 300 year old cold stone building in the countryside.
Still there are homeless that would refuse, some from not believing or trusting you, some from not wanting to relocate even if it means that level of comfort, some from being deep into addiction thinking that they’ll be forced to get clean. And some will take you up on it and just absolutely trash the place trying to steal anything not bolted down.
That said the vast majority would for sure jump on it and thrive. So if it was at all possible to make happen it would be a good idea.
You’d go insane from the isolation looooong before finishing a fat Steam library. But first you’d be completely bored of gaming. Even if you feel no fatigue, hunger, tiredness etc it would quite quickly lose meaning. There’s a reason most retired people don’t do that thing they love 24/7. We just can’t derive enjoyment from something we can and get to do all the time. Waiting, longing and planning to is vitally important to enjoyment.
If you’re deeply autistic but still functioning you might be able to survive the isolation. But you’d need an insanely rigorous schedule set up for yourself where you treat observing the universe form as a job and treat yourself to gaming or whatever activity. But even under those circumstances that individual would likely go completely insane and be a vegetable within a thousand years. After a billion, if you literally can’t die no matter what you do, then you wouldn’t even be able to form thoughts, your brain would be so fried you’d present as someone with lock-in syndrome and just lay there until you finally get to die. Torture is putting it so mildly it’s like calling Carolina Reaper Peppers about as spicy as vanilla ice cream.