Many do. Look at the ranks of founders, context level execs, all made up of a disproportionate share of immigrants. That's also not necessary to justify the proposition that immigration doesn't reduce market wages if it increases demand. It is possible that the demand for software far exceeds software developers and we could 10x or 100x employment and demand would still keep wages the same. You need to show why the fact of salary levels and directional trends are causally linked.
> Many do.
Every one of them should have at least double the salary if there's any truth in claims of their superiority to domestic workers and any truth to the claims of a shortage of talent.
The world's top athletes and artists all have salaries in 10x - 100x of the average worker in their field. And what more: Their own countries are usually world leading in those fields also. But when it comes to migrant workers, somehow they are exceptionally talented beyond what any domestic worker could even compare to, yet their own countries aren't leading in their field. Hmmmmm....