That's not the only consideration. As you can see here:
https://en.wikipedia.org/wiki/Social...ANF_recipients
welfare recipients were receiving more benefits post-60's (high poverty rates at the time), with few barriers to entry; point being they were still poor, had free time, but could eat. It was during the 90's (the same time period that the crime bill was put into place) that TANF added the requirement that the recipients should be employed below a certain income level or seeking employment to receive benefits, ergo less time to commit crime while also encouraging them to earn money.
It's also true that rich kids commit crimes disproportionately, mainly because they're bored. The real operating distinction is that people need both: food, and something to do.
Resources also extends beyond just money itself; we're also talking infrastructure.
It's never so simple as any one factor, and this should be it's own thread by this point anyway.