Earlier quoted context omitted.
The "without chaining it to a specific company" is critical. When the employee is chained to a company, the company has every incentive to lie then treat the employee poorly. When the employee is not chained to the company, the company has incentives to tell the truth then treat the employee well.
Unfortunately the reality is that there is absolutely no one who is interested in pushing a visa scheme like this. Employers are not interested in going through effort and paperwork for an employee who can jump ship for a better offer down the street once they are in the country. Other employees are not interested in increasing the supply of similar labor that will drive down their market value. The only ones who are…
Why should they hire someone who can walk to a competitor at the drop of a hat when they can hire someone that will probably be deported if they step out of line or demand market-rate compensation?
(Also, many of my friends have/had H-1B’s...)