I've read Eric Reinerts book and I do not think it is conspiracy theory because he explains also the economic background of the both symptoms you show.
One point he describes is how free trade discussion prefers the developed countries. Industrial production profits a lot more from scale effects than agricultural production. So he says, it is not fair to hinder countries to develop an industrial sector. Your argument about the so called tiger states has 'roots' in another development strategy of Japan for neighboring countries. The so called flying geese paradigma was one the reasons why it is now possible to buy high technology products from east asian countries. So it is more an example that strengthens Reinerts arguments. There was no leader goose for many other areas in the global south. Maybe china now plays this role. With the BRICS countries the situation today is more complex. But the fact that the world is changing, can't be an argument against a theory which tries to be rooted in history.
That Eric Reinert points out still valid issues can you see in the discussion about the Economic Partnership Agreements.