Even now companies are giving up on the legal immigration system and hiring outside the US. Canada has a much saner system. Gigantic engineering offices in India and China.
The US treats it as some zero sum game between citizens / immigrants and is losing out on taxes, economic spending (every HC outside the US is less spend in the US local economies).
I know a few fresh out of school lawyers and they are right below $200k. I could imagine doctors in certain specialties are the only grads getting paid an average of $200k+.
If you want to focus on the top of the top, which 200k out of school would be, then H1B1 should be a pure auction system: take the top X salaries offered, and let them in.
Oh wait...
You need to adjust for cost of living, universities, hospitals, non profits don't pay as much etc.
There is a prevailing wage determination check for granting a H1. That rule was revised a few times, that's the right lever to pull.
You could make the prevailing wage requirements == median wage for a given experience in an area. Right now it's the 35th percentile.
Yes, workers should get a larger slice of the pie. Too much goes to the top.
canadian tech wages are absolutely pennies compared to US wages, i'd hardly consider it an example to follow