This argument is also used against increases in the minimum wage. Now almost everything in economics is up for debate, but very few economists agree that raising the minimum wage by X dollars will result in prices rising by X dollars so that the effect is non-existent.
There are several reasons for this, the biggest is that cost of labor isn't the only input in pricing.
Basically the cost of supply constrained goods will go up, but not enough to outweigh the increased purchasing power for lower income earners.