You already participated in a discussion of this topic on this forum. Here is my reply that is still applicable. Choosing homelessness - #31 by vladyslavbond
Individuals who suffer from mental illness tend to want to wander off from their home, regardless of the accommodations. This is especially pronounced with paranoid delusions
Yes, most schizophreniacs experience something similar. The wildest case I ever heard about on this exact forum is a man in Texas driving around with a gun while paranoid, delusional and psychotic.