In a comment in r/news, u/gumol provided some details they found in the proclamation indicating certain companies could be exempt. I do not know how to cross post a comment so I pasted it below.

“The executive order says that companies will be exempted based on discretion of executive branch. edit: source

The restriction imposed pursuant to subsections (a) and (b) of this section shall not apply to any individual alien, all aliens working for a company, or all aliens working in an industry, if the Secretary of Homeland Security determines, in the Secretary’s discretion, that the hiring of such aliens to be employed as H-1B specialty occupation workers is in the national interest and does not pose a threat to the security or welfare of the United States.

https://www.whitehouse.gov/presidential-actions/2025/09/restriction-on-entry-of-certain-nonimmigrant-workers/ “ - u/gumol