As counter-intuitive as it seems, this should happen. People should not look at rental property with no rent stabilization provision as a stable housing arrangement. If there is a sudden shortage in housing, we need prices to suddenly reflect that shortage, in order for people to be suddenly incentivised to and compensated for building housing to fill that shortage.
Shortage is pain and rent control simply distributes that pain in a different way than the market would and does so in a way that reduces the ability of the market to gradually alleviate that pain.
The more the government intervenes in rental contracts to mandate that they be like a lifetime lease agreement, the less incentives and sustenance there is to build a rental property overall. Society is better off having more rental units that have prices that are not legislatively stabilized than have a smaller supply of rental units with mandatorily stabilize prices.
If someone wants stabilized rental prices and they should sign a lease agreement with the landlord that gives them that at the price of a slightly higher per month rental rate. These kinds of things should arranged by actors in the market rather than having the government ban all alternatives in order to force people into stabalized rent contracts.