I suspect that the real problem with prioritizing by pay is that it shows that a lot of employers are using H1-B workers to put downward pressure on wages.

Also there are a lot of parties involved in gaming the complex system whose services wouldn't be needed if the solution was that simple. I think Upton Sinclair's quote applies here. https://www.goodreads.com/quotes/21810-it-is-difficult-to-ge...