Incorrect. The Fifth Circuit upheld the injunction. They found, specifically, that the officials from the FBI, White House, and CDC likely violated the First Amendment.
>As explained in Part IV above, the district court erred in finding that
the NIAID Officials, CISA Officials, and State Department Officials likely
violated Plaintiffs’ First Amendment rights. So, we exclude those parties
from the injunction. Accordingly, the term “Defendants” as used in this
modified provision is defined to mean only the following entities and officials
included in the original injunction:
[Followed up by a page and 1/4 of people and agencies who the injunction still applies to]
In no way is it honest to describe this as "overturned".