The problem is that these people are supposed to be programmers, i.e. people who have been trained already. Yes, it is real that companies do not want to train

The problem is that these people are supposed to be programmers, i.e. people who have been trained already. Yes, it is real that companies do not want to train people - and that is a problem in itself. But if someone tells me "I am a professional programmer" and I give him FizzBuzz and he cannot solve it it is no training problem. It is a problem with hiring: How could such a person ever hold a position as a programmer (without "trainee"/"apprentice" behind their job title)?