From a theoretical standpoint, it is likely that the extra supply of foreign-born workers does bring downward pressure on the wages of incumbent workers, as research suggests.20 Yet, it appears that demand is so strong relative to supply that even the inflow of H-1B workers is not enough to meet the demand of U.S. companies and push wage growth down to normal levels.

You're absolutely right--what lazy work by PBS (and me, for assuming they fact-checked). Ugh.