It's basic economics, if you increase the labor supply wages go down.

It's easy to say that the cost of products will also go down, the only problem is that since the #1 goal for corporations by law is to increase profits (and people are greedy), they're far more likely to pocket most of the profits and only reduce the cost of their products *slightly*.

The best example is Nike shoes. After the production of Nike shoes moved out of the US, did we see a dramatic decrease in the cost of Nikes? HELL NO. If anything they got to be MORE expensive, because the market determines the price. The cost of labor is generally a very, very small factor compared to that.