I say this as someone who started working at age 14: Children should not be allowed to work most jobs until they are much older than that.
Yes, the risk is higher than for a 25 y.o., but as someone who started working at age 15 - there are also rewards in experience, money, and figuring your own shit out. Nothing taught me about life like working.
Also, as long as it's not a literal coalmine you see no risks to children? If it's a factory instead, then we are in the clear?
I do not advocate for children's labor, but I also do not advocate for taking things to extremes in order to make a point. If you feel it's problematic for children to be allowed (not forced - allowed) to work in fast food, we can have that discussion. But talking about it as the missing link for returning to 19th century slave labor conditions, or the conditions currently in China is misleading and not worthy of a conversation.