Yes the job market exists.
>The facts show that just like the amount of labor is not fixed, neither is the size of the economy (fixed pie fallacy) and as more work is done, the economy grows
Your reply is a glib thought-terminating cliche strawman that doesn't address their point at all. Interesting!
Besides, yeah, if you hire people who will work for any salary, the amount of jobs will increase, but salaries will decrease, for locals as well. After some time, locals will flee sectors where the migrant workers are brought in, creating further self-inflicted "labor shortages"...requiring more migrants!
The main winners are capital owners, who, thanks to the migrant workers, can now acquire a larger part of the added value generated by workers.
This might be less true if there is resource starvation but we have transport and imports and exports. You can accomodate more people and feed them.
That doesn't mean your plumber isn't qualified—just that people looking for webapps want to hire workers who know how to make them.
There is the other side plenty of workers successful at programming language could be trained to fill any gap. That's what happened in the 50s and 60s..
PS The number of roles that there aren't qualified Americans for could be counted on one hand. This has always been about reducing salaries, not shortages.