After New York City’s race for mayor catapulted Zohran Mamdani from state assembly member into one of the world’s most prominent progressive voices, intense debate swirled over the ideas at the heart of his campaign.
His critics and opponents painted pledges such as free bus service, universal child care and rent freezes as unworkable, unrealistic and exorbitantly expensive.
But some have hit back, highlighting the quirk of geography that underpins some of this view. “He promised things that Europeans take for granted, but Americans are told are impossible,” said Dutch environmentalist and former government advisor Alexander Verbeek in the wake of Tuesday’s election.
Verbeek backed this with a comment he had overheard in an Oslo café, in which Mamdani was described as an American politician who “finally” sounded normal.



https://iea.org.uk/media/rent-controls-do-far-more-harm-than-good-comprehensive-review-finds/
More migration comes either way, if you control rents or not.
You cite neoliberal garbage that has a childish strawman argument against a socialist on its main page. There are plenty of good arguments to make in favor of rent control that are biased the other way, the one that is not subservient to capitalist market forces and interests.
Jacobin has many articles in favor of rent control, written by economists that have looked at the data.
And here is another one that looks at multiple studies and finds that the negative effect on supply are mixed and marginal at best.