Oh yes, healthy foods should be included, but not Luxury foods like this. A t-bone is more more "healthy" than a normal cut of meat because of all the fat it has in it...and you can get 96% lean hamburger if you want. But I just can't see a nutritional reason for people on food stamps being able to get crab and hamburger. Plenty of other healthy alternatives out there that don't cost over 10.00 a pound if you know that to look for (which honestly probably isn't beef at all, rather chicken, pork, or fish). I'd have no problem a family picking up a salmon fillet for 6.99 or so. it's a fine healthy cut of meat, not the cheapest but good for you.
I'm just saying. Crab and Fine steak does not really make sense at all, it's not more healthy or anything. It's just well, Luxury food that has no other warrant to it other than being tasty and very, very expensive per pound.
Overhead. Plain ad simple. It's expensive to run a store. I probably can't say who, but the place I work for has an overhead from stock loss alone that equals the total profit of 8 stores alone per year (and it really pisses management off as well

). And that does not include other costs. It would cost a huge amount of money per year for enough "state" stores for people to have reasonable access...lets remember not all welfare takers have good transportation. It would just be prohibitively expensive to build or buy a government store that fills these needs.
However, the easiest thing to do would be to just make these items not accepted through the food stamp system.