There are way too many other variables involved to really make that generalisation. I've lived in a city with very strong rent control and one with none and ess

There are way too many other variables involved to really make that generalisation. I've lived in a city with very strong rent control and one with none and essentially no tenants rights. Both cities currently have rental shortages, just the one without rental controls is about 3 times as expensive as the one with. In practise, I've yet to see anything working that doesn't make rentals either scarce or prohibitively expensive.