When I was 15, my brain was definitely pubescent and far from fully developed.
But I was able to make some money by fixing computers or translating stuff from English to Czech anyway. There was no exploitation in those labor relations just because I was young.
I am not manually skilled, but I can definitely see someone at 15 making a nice chair or a table instead.
I don't think that 15 y.o.s should be treated as fully adult, some limitations on their work are perfectly OK (no ardous work, no work underground etc.). But barring them from working altogether will probably slow their development down. Not everything can be learnt from books or models, some real-world practice, including the most basic elements of interaction with customers/employers, is necessary.