These solve different problems. Making an environment inhospitable to the homeless, gets them out of sight. So the well off don’t need to see them anymore, which makes them feel better.

Problem A: filthy and misbehaving people being a nuisance and eye sore

Problem B: people being so unwell and poor they live on the street

A and B are related as in B causes A. However it’s possible to solve A in some areas and not bother with the harder problem B.