They evade judicial enforcement and try to stay anonymous. They've certainly already been sued (and lost by not even turning up). https://en.wikipedia.org/wiki/Anna%27s_Archive#March_2026_pu... (Contrast to Sci-Hub trying to defend themselves in court, in India, and that leading to no new articles since several years ago.)

Unlike archive.org which is a real business, Anna's Archive is basically piracy. You could try to sue them but you'd have to find them first. This IMO makes them more resilient against that sort of thing, and also means they can actually do their job.

Anna's Archive merely indexes copyrighted content. It doesn't host.