Is it even a crisis for capitalism? Modern day capitalism seeks to eliminate workers, the ideal for the capitalist is to make a factory full of robots with like 10 employees that manage and service them. As factory work dies the population stabilizes (it doesn't shrink, it just stops going up year over year) and the remaining population performs service jobs that can't be performed by AI/Robots or a select bit of high paying factory jobs where robots cannot yet perform the factory task.
In an even more dystopian outlook the capitalists don't even want people for service, they likely would want robot and AI service (waiters, barbers, etc) in the long game to eliminate the need for serfs.
At the end of the day the cry about population collapse and declining birthrates only makes sense when you add a desired ethnicity before the term. Example [White] birth rates or [White] population collapse. Elon Musk isn't worried about the birth rate of Japanese or South Koreans. This whole thing is about racist views on world ethnicity.