As others have mentioned in the comments, today H1B is basically indentured servitude visa. While theoretically you can move to another job, few people dare, especially if they have families, because in case of any screwup whatsoever, you have to leave the country within 2 weeks. That's _insane_. When I was H1-B I chose to wait until I got the green card before making any moves. That took 8 years, during which I did not quite made the kind of career progress I was hoping for. Now that I'm not an H1B, _magically_ I have no problems whatsoever with advancing my career. What a bizarre coincidence.
And I'm not Asian, for Asians it takes longer than that. Another type of abuse you often see (and that was the case with me) is companies hire a very experienced worker in a much lower level position than he ought to be in, considering the experience, and then keep them there until they either work up the courage to move, or get the green card.
The _real_ fix for this should be two fold:
1. Allow H1Bs to move more freely between jobs. If you're a programmer, you should be able to move into e.g. DevOps or Data Science, or DB administration without risking that some bureaucrat decides that's not an eligible transition.
2. Allow more time for them to do so, so they don't have to find another job before leaving their current one. Six months to a year ought to be enough. Implement a cliff of e.g. 1 year to make this more fair to employers if need be, but don't kick families out of the country in 2 weeks just because the breadwinner can't tolerate the abuse anymore.
This will make the market for H1B workers price-competitive with native workers (since they will be able to command market rates given their levels of experience), and DRAMATICALLY reduce abuse. That's literally all that needs to be done. This will also make it easier for people just out of school to get well paid jobs that would today be taken by overqualified and underpaid H1Bs, because the employer will not be able to exploit their ignorance of the job market for long.
Instead they are proposing some tactical bullshit that will only get in the way of a more comprehensive reform that the Trump administration might (or might not, the election is over) come up with.