This is a silly simplification that posits that sticking the word "market" on something means that it will behave the same way and is beholden to the same force

This is a silly simplification that posits that sticking the word "market" on something means that it will behave the same way and is beholden to the same forces. The bread "market" and the housing "market" are not comparable in this way. I think a lot more nuance is required for convincing case against (or for) rent control.