I know websites (and some of my clients) who are actually actively REMOVING copies of their website from the Internet Archive.

There's a specific process for getting all of the content removed, and asking them to not archive the website.

For some ecommerce websites, they're removing copies from Internet Archive because there's pricing data that's getting archived.

I've also had clients remove copies because they've had a big problem with scrapers who are scraping the copies of the site in Internet Archive. They've been able to (mostly) stop scrapers on the site, but having archived copies of the site allows scrapers to scrape the Internet Archive.