WIC eligibility can vary by state, but is between 100% and 185% of the federal poverty level (I spot-checked a few states, and all I saw was 185%). 185% comes to ~$50k per year for a family of 4. And most people have children relatively young, which usually means they aren't earning a ton of money.

This is the sort of program that I'd rather 'too many' people be eligible for than exclude anyone who might be helped (it is not just about adequate nutrition, but also providing information on healthy eating and referrals to health care).