Government programs are literally no better when it comes to administrative costs. In fact way worse in the vast majority of cases.

CEO’s are only a thing with very large charities on the order of the Red Cross, (or rich people money laundering charities). Your local shelter or food bank isn’t going to be having a high overhead, in fact it’s going to be much lower than the government agencies because of almost entirely free volunteer work. The point where the government is more efficient is due to the fact that welfare fraud is a crime, so people are naturally less inclined to lie to receive benefits.