> there won't be an incentive to reward people which provide zero value.

I am assuming you mean "who don't work" when you say provide zero value. The poor encompass more than just people living in a cardboard box in some alley. There are poor people living paycheck to paycheck who are barely able to afford food AND a roof over their head. A poor person can be a single parent with two kids who works two minimum wage jobs just to be able to provide for their family.