"Culturally normal values" is such a crazily loaded phrase. I personally don't have a strong desire to see people with culturally normal values be in charge, since, as far as I can tell, the "normal" person is neither very smart nor very thoughtful.
I believe moral opposition to child labor is a widely held view, and that most politicians, if pressed, would be in favor of writing laws to eliminate it. There are many reasons that pressure isn't applied, but it being a culturally abnormal view isn't one of them.