The fallacy is assuming that the government will make everything cheap for consumers.
In practice, government regulation of prices just changes the game. Look at any market with rent control: There are numerous meta-games around building or not building new supply, landlords are incentivized to not fix units because they know tenants don’t want to give up their rent control and move, and a new market emerges where people illegally sublet their rent controlled apartments because it becomes attractive to take advantage of the market demand that landlords aren’t allowed to capitalize on.
The other fallacy in all of this is thinking that companies control both supply and demand. For nearly all commodities, there is a price where consumers won’t pay for it. If rents get too high, people move to a different city. If gas gets too expensive they start carpooling and looking for WFH jobs. If eggs are too expensive they eat something else. These choices make people angry as hell, but there’s no denying that these choices exist. Companies can’t push past these limits and force people to buy at any price. They still have to discover that point on the supply and demand curve.