This is kind of the opposite of what I've seen? The discount grocers often have people buying huge quantities of stuff. Some of which is probably attributable to having a single car for the household.
There is a rather large difference between the monthly EBT run and buying quantity when something is on sale. Having one vehicle, often in poor condition, tends to make people do a once a month large grocery purchase. It is so common that some unscrupulous police officers will have a checkpoint on a known route to write some easy tickets.
It doesn’t matter what’s on sale, the big purchase happens anyway. They aren’t shopping the sales.