"That someone exists hanging off a cliff is a bad thing. So I shall remove the cliff." The only way you can achieve a positive benefit for these children is by paying their wages. Removing that payment is removing the benefit, and nothing more. Nothing good will come of it, save for a smug look on your face as they go back home empty-handed for the day, or as the factory switches to making parts for Dell or Toshiba instead.
When I was 13 or 14, I worked picking strawberries in the summer in Oregon. It involved getting up very early, riding a school bus for a couple hours to the fields, working all day doing back straining work for little pay, and then taking the bus home. I didn't need to feed my family, but I wanted to work because I wanted to have some spending money. I'm glad I live in a country where that opportunity was made available to me. Is this "OK"? Were those "unethically" picked strawberries?