Putting additional restrictions and requirements for reporting would likely be a good thing. I am hesitant to say "H-1B needs to go" when it does serve other non-technical positions.
https://en.wikipedia.org/wiki/H-1B-dependent_employer
https://www.dol.gov/agencies/whd/fact-sheets/62c-h1b-depende...
In the past there have been specific carve outs for specific fields. The H-1A was the section for nurses. https://en.wikipedia.org/wiki/H-1B_visa#The_Immigration_Act_...
It might be appropriate to separate H-1T (I'm sure its not up to section T yet, using that as a placeholder) for tech workers and have some sort of proctored test to ensure that the skills represented aren't "I know how to use Claude" along with filing fees sufficient to cover the administration of the test.
This would move tech workers out of the H-1B category allowing it to return to its original intent of skilled workers (teachers, medical technicians, private sector researchers...).