Yeah, you try living on $245/month cash and get back to me on how much disposable income you have.
The chart is misleading. It ignores other components of the "total economic benefit" received by the $60k family, such as employer contributions to health care (including dental/vision, not covered by Medicaid), child care, and 401k. It ignores all tax credits other than the EITC. It ignores that Section 8 is very far from universally available to low-income families. And, ftr, when my family had about as much income as the minimum wage family, we did not get full Medicaid or SNAP benefits: we had a $211/month deductible and received about $100 less per month in SNAP benefits--and that was for four people. In other words, either the calculations for eligibility for these federally funded programs are vastly different state to state (I don't think so) or the chart is outright wrong about the amount of benefits allocated to a minimum wage family.
Now, I don't have personal experience with all sides of the chart, but for a couple of years, my household income was around $50k. And for about a year, we fed and housed three children who lived with us, along with their mothers. We didn't use $16,000/year worth of medical benefits, we didn't spend $526/month of food (we fed four adults and three children on about half that), and we had a LOT more disposable income.
I'm not saying that a family making minimum wage should necessarily somehow get more welfare. But I am saying that it takes a powerful imagination to state that $245 cash to cover a portion of rent, most utilities, all transportation, all clothing and personal needs, and all emergencies comes anywhere close to having any disposable income, much less more than a family making $60k/year.