It is believed to be unlikely that a court would compel a company's false speech to maintain a warrant canary.
> Have courts upheld compelled speech?
> Rarely. In a few instances, the courts have upheld compelled speech in the commercial context, where the government shows that the compelled statements convey important truthful information to consumers. For example, warnings on cigarette packs are a form of compelled commercial speech that have sometimes been upheld, and sometimes struck down, depending on whether the government shows there is a rational basis for the warning.
> Have courts upheld compelled false speech?
> No, and the cases on compelled speech have tended to rely on truth as a minimum requirement. For example, Planned Parenthood challenged a requirement that physicians tell patients seeking abortions of an increased risk of suicidal ideation. The court found that Planned Parenthood did not meet its burden of showing that the disclosure was untruthful, misleading, or not relevant to the patient’s decision to have an abortion.