If food prices went to near zero, healthcare and housing would mysteriously get more expensive until people could barely afford them even with cheap-as-salt foo

If food prices went to near zero, healthcare and housing would mysteriously get more expensive until people could barely afford them even with cheap-as-salt food. The opposite is probably true too: if food prices went up, all of a sudden health insurance companies and landlords can lower their prices just enough to keep their customers. I'm sure the voters would still freak the f out though.