If the subsidies were removed, the farmers/etc would need to raise their prices to pay for whatever the subsidies paid. That new higher price would reflect the real cost of production. The subsidies are there to keep prices low and accessible despite a higher cost of production.
It seems more like it's just an entrenched industry. Corn especially now that it's tied up in gassoline and Trump's trade war.
Same thing, really. Entrenched industries usually find themselves a nice feedback loop and dig in. The nature of capitalism allows them to ignore any negative externalities of their product. They ship out corn-sugar and dollars roll in. They don't deal with the realities of diabetes and heart disease caused by their products. Heart disease is the #1 killer in this country. Diabetes is #7. If we want any hope at combating this, we need less sugar in this country. But big sugar is indifferent to this, and that's where the evil comes in. In fact, they know this is happening, but the calculus is clear.
The problem here quite simply is that people kove sugar. Arguble some historical regulatory mistakes made suger consumtion too high but the primary reason is people demand.
But it applies to adults too who purchase the goods. Most people if you ask them don't realize how much sugar is in the food they consume, and they don't understand the connection between sugar consumption and heart disease. No one chooses heart disease.
People can read a percentage or a gram count on the packaging, sure, but the nature of sugar is that of addiction. It's not just that people like sugar, it's that we are wired to want to consume it, and Big Sugar takes advantage of that by loading a surprising amount of our food with too much of it. Many people are surprised to learn their bread has sugar in it. Even with soda they are surprised just how much is in a can if you measure it out physically on the table in front of them. People aren't well-informed about what they are consuming and the long term health related effects, and even if they are they are too addicted to stop. Big Sugar knows this and takes full advantage, because millions of people dying every year does not affect their bottom line (and they can easily replace their old, dead customers with new, young ones)
Look at mines, oil companies, etc for other examples of industries with participants lacking the ability to raise their prices.