You don’t want the global markets determining that you have a competitive disadvantage relative to peers and thus want to import all of your food and abandon your domestic production.
You also don’t want farmers hitting the prisoners dilemma issue of producing as much crop as possible because then farms die from competition. And again letting them die is not good for a critical industry like food.
Paying farmers to underutilize their land is a less insane idea than it sounds.
And you suggest that they deplete this non-renewable resource faster ?
Strategically/rarely buying and dumping excessively cheap grain would bolster farmers' livelihoods, prevent price collapse, and... some fish get fed one time.
You solve permanent overproduction with mobbing people together and demanding that the government stops mandating it. Because it only exists when the government mandates it.
If you want to soften the blow into people that have to learn how to grow some completely different crop. You go and do that, you don't create an entire class entitled to permanent societal support for not working.