A downloaded model that can be run on US servers is covered by the first amendment as free speech. This is not the same circumstance as the law that required TikTok divest of its platform, which was over spying concerns[0]. You can’t spy on Americans when data is kept on US servers.
0. Per the TikTok Supreme Court ruling:
https://www.supremecourt.gov/opinions/24pdf/24-656_ca7d.pdf
There is no doubt that, for more than 170 million Americans, TikTok offers a distinctive and expansive outlet for expression, means of engagement, and source of community. But Congress has determined that divestiture is necessary to address its well-supported national security concerns regarding TikTok’s data collection practices and relationship with a foreign adversary. For the foregoing reasons, we conclude that the challenged provisions do not violate petitioners’ First Amendment rights.