I think this is true already. Companies who lay off do not get to sponsor for green card. I am not sure about h1b

But this is not punishing the company. If anything it is helping the company to avoid having all those H1B workers looking for another job. "Oh, surely, we'd love to sponsor your green card, but you see? we can't! This senator that we incidentaly gave millions for his campaign got this idea out of his mind, alone, that we now can't sponsor your green card, and yes, it is horrible to work here after the layoffs, but looks like you're stuck with us."

There’s a 6 month window between layoffs and PERM filings (green card). Employers can still submit PERM filings, but AIUI, doing so risks audits.