Certainly, but as is so often the case in Germany, it is forgotten that someone has to pay for the higher wages & prices - and if the state no longer builds, the commercial developers are slowing down, the housing cooperatives and many, many building families can no longer afford it, it will get interesting. And then there are the banks and their valuations & conditions..
Well, actually it is quite simple. In the end, the rising costs are ALWAYS paid by the end customer. Since wages will rise significantly both at the construction company itself and at the suppliers, both the supplier and the construction company will have to pass these on, as well as rising energy costs, to the end customer. Those who already have barely any margin will thus inevitably have to become more expensive, others who were previously more expensive because they had better margins cannot lower their prices, but can only maintain them at best. (what a nested sentence :-P!?) It then also plays a secondary role how high the demand is. No one will be able or willing to afford to lose money on a project. Rather, some will have to close, which in turn leads to the supply of those who can implement a project becoming smaller and thus more expensive. Low material availability and supply chain problems, which are additional price drivers, are not even considered here. Then there are also things like photovoltaic requirements,... Conclusion: I do not see how prices are supposed to fall in the foreseeable future. Building as a private person is thus becoming increasingly difficult to impossible, unless you inherit or otherwise accumulate a high level of equity. Sad but true.