The problem with this is that until we have better means to train people without exposing them to real situations, increasing the number without lowering the overall skill level is an incredibly hard problem.
No, but there is a sufficiently large number of problems that relatively few people suffer from that even with people specialising there are plenty of problems where getting people to a point where they are competent enough to participate in operations on real people, and then get them enough experience to be able to do it unsupervised is a challenge.
We can specialize more, but that has its own problems in terms of e.g. availability to deal with urgent cases. And ultimately we do not get away from the fact that giving enough people enough experience even with relatively rare situations is a big challenge.
Eventually we will be able to simulate the situations well enough, and this problem will go away, but it simply is not as simple as throwing more bodies at it.
Training people to respond to this one situation so that they can respond to this one situation is fine. After covid19 is resolved they wont be needed anyway.