The thing about rent control is: You cannot effectively implement it in a vacuum. By default or design, it creates an ecosystem in any large US city where it's attempted.

Rent control means less development of rentals subject to its control, so local government becomes a developer (i.e., housing authorities).

Rent control and public housing push market-rate housing out of neighborhoods, leading to suburban growth and sprawl, and away from infill densification -- at least for middle- and upper-class buyers/renters.

Once that dynamic is in place, your infrastructure costs rise immensely, which leads to higher taxes, more reliance on state and federal grants, or both.