Not sure if that leaves it a free market. So if we're gonna be talking holes in the cheese - seems like you're reasoning in terms of a basically self-contradictory notion.
But truly, what do you reckon about the 1st point, in terms of the interpretation of market freedom which you use?
There have always been rules and laws. The US has never been a totally free market. Most of the laws and rules we have were written in blood by people professing a "free market" right to poison our people, rivers, air, and more.
Rent control stabilizes prices while more supply can be built, because it is in the interests of society for people to be able to afford to live, and we can't will additional buildings into place overnight. High eviction rates destroy communities and have many negative side effects.
In the absence of regulation, corporations lie, cheat, and steal, and have a massive power imbalance against ordinary people. No one has enough time and energy to research every option for everything in their daily life, and they rely on laws to establish safety measures they can rely on.