But that's not necessarily a distortion. if you have food that's less appealing, and it's far away from where people want it, it's expensive (money cost is a proxy for resource cost) to get that food to the place where it can be eaten. "people don't eat enough food" isn't really the problem in the USA, and in places where it is a problem, they don't have the picky culture about how food looks in the first place.
Sure, the state can subsidize the process, but in effect, it's a money-losing proposition, so the taxpayer foots the cost of providing cheap-but-actually-expensive food. You lose money, e.g. expend more resources, than you gain in value. In fact, the ultimate end result wouldn't be "more food for all" it would be a scaling-back of food production and a reduction of choice. We'd produce only as much as people can eat, and you eat exactly whatever the state decides to produce that minimizes cost of delivery.
Also, the food that's not harvested isn't wasted, it stays in the soil as compost. Plus it costs fuel to transport that stuff, which adds to the carbon footprint. Scraping literally every speck of edible food from those farms and getting it to the cities isn't necessarily the best idea in terms of the environment. With stuff that humans don't want as much, you can just compost it and/or feed it to livestock. That's better than trying to artificially prop up some "market" for it.