There are exceptions that prove the rule. But "most" is an excuse.
As Paul Graham said on a different thread yesterday, if you have a choice between two explanations and one justifies you being lazy, choose the other one.
By "offer", do you mean for free? Well, duh. What the GP most likely meant is that some people prefer to be homeless rather than having to get and hold down a job to afford a place to live.
I've watched several friends spend two or three years doing nothing but hunt for a job, and they were lucky enough to have friends with couches to crash on, enough money for interview clothes and a computer to access job ads on. You act like that's a trivial step: it's not.
Besides the challenge of actually finding a job, a minimum wage job won't cover rent in SF and certainly not with money left over for things like food, transportation or phone service. Have you seen the installation art piece about the minimum wage? It's a box with a crank on it that spits out a penny every 4.97 seconds: http://disinfo.com/2012/12/the-mininum-wage-machine/ That's what working is like to most people, except often more dangerous and demeaning.