> Is this true for civil cases? I presume no one is being charged with a crime here...

Yes. The publishers are saying 'the Internet Archive violated my rights and has caused monetary damages. They owe us for those damages.' It's up to the publishers to provide that the Internet Archive violated those rights.

Now civil trials and criminal trials have different standards for evidence and determining guilt. In criminal trials, the prosecution has to prove beyond a reasonable doubt that someone committed a criminal offense.

In civil cases, the complainant (plaintiff) just has to prove via a 'preponderance of the evidence' that their rights were violated. Meaning, it's more likely than not their rights were violated.