>Why on Earth do you think producers will be unable to raise prices?
Because of the law of supply and demand, as it pertains to the outputs of a productive process in a relatively free market context. The prices will generally tend towards the costs (including opportunity costs) in the long run, and demand shocks will only cause temporary rises in price until production can catch up.
With naturally scarce commodities, that is not possible, because there is no production.
>you don't think that more construction happens when there's more demand?
Land supply is perfectly inelastic. Improvements on land are somewhat elastic, although ultimately anchored by lots of factors... and the speculative holding of land is a big one. Furthermore, there's an upper limit to the amount of density that a region can sustain and still be livable.
There's a "standard of comfort" that people have, which ultimately determines a lot of it, though. So, in theory, if we became more comfortable at higher densities, we could live like people in Hong Kong. Yet, that doesn't mean even they can sustain infinite density, and indeed they have high rents in Hong Kong.