Increased supply puts a downward pressure on price. That is basic economics. If demand is still growing price can go up, just not as fast as it would have without the increased supply.

No one is arguing that people from Ohio or Alabama shouldn't be allowed to move to NYC because those people are still allowed to move around. The H1b visa ties workers to companies and gets rid of the free part of the free market. I don't care that immigrants come in and work if we don't have the people to do the job here. I care that companies are lying about how hard they looked or the wage they pay, and then getting indentured servants.

The companies are extracting value from society without giving back.