I worry that there could be real DMCA style weight put behind it. People would still be able to pirate open weights models perhaps, but big penalties for ever getting caught with one, and an end to public discussion about them. That would kill development for anyone not in a big firm, for example if Reddit and Hacker News are legally forced to ban discussions or link sharing on these topics. This is where so many of us learn about these topics and keep apace of it.
Oh my dear the weight here is much much heavier, only the most amount of private money ever spent on a single technology, so much money it makes the copyright holders who paid for DMCA look like really really small fish
That would be truly ironic: companies get big harvesting any data with questionable copyright implications, then hide behind DMCA if access to the harvest is used "inappropriately".