Should we avoid products produced by paying really small sums to people?
I suppose it depends on one's definition of 'really small sums'. Is it in terms of the buyer, or the producer? If the latter, I'd rather avoid them; if its in terms of the buyer, one has then to ask whether that sum is smaller than, the same as or larger than the average income for the producer, and whether it allows them to provide for chidren and families/communities without sacrificing staple food and other requirements.
I've used this example before, but may be not here. Whilst we were in Nepal, a group of German child labour activists visited the local Tibetan refugee camp to investigate reports that children as young as 8 were being used to make the famed Tibetan rugs that (mostly) tourists purchased. They 'discovered' that this was the case, and used a number of early internet means to discourage tourists from buying the rugs. However, they were only there for 2 days, and those happened to be the weekend.
What they didn't think to do was to discover what happened during the week. One of the selling points of the rugs was that they were made by individual families rather than in a factory, and part of the money raised from the sale of rugs was used to send the children (up to about 13) to school. Children and young people were only allowed - by camp elders - to work on the rugs once they had completed their homework - and their evening meal. It was a means of teaching them a skill that, if nothing else, they could fall back on as adults - and was a time for the family to do stuff together once a day.