Look, this job title is at most 2 years old. How can someone have years of experience in this? OTOH, there are plenty of people with strong applied math and good programming skills.
The set of skills existed before it had a trendy job title so you can have the experience even if it was called something else. This is true of most of the people currently working as data scientists. In a similar vein, I was designing big data systems years before "big data" became a term or trendy. For any particular odd skill mix you can come up with, there are people with that skill mix who are already doing a similar job. But usually people do not intentionally build that skill mix until it becomes an official job title and career path in the eyes of the public so it is a very small pool of people.
In the case of modern data scientists, having strong applied mathematics and programming skills is about halfway to where you need to be and a good starting point. The demand has temporarily grown much faster than the convertible talent pool can develop the additional set of skills required.
I am of opinion that if demand is high enough, companies will start hiring "halfway there" people. But this will happen only if the market grows big enough. Right now it is still a niche market where companies are cherry-picking right candidates, it seems. At least this is the impression I get from reading this thread.
The question of the size of the market is crucial. Small labor markets are very inefficient. This means that the number of qualified people is small enough, but the number of companies they can choose from is also small. It is hard to find a job when the number of companies hiring is probably less than 100.
In the case of modern data scientists, having strong applied mathematics and programming skills is about halfway to where you need to be and a good starting point. The demand has temporarily grown much faster than the convertible talent pool can develop the additional set of skills required.