Do search engines index masked domains?
No site or domain lists itself, “actively” or otherwise. A site will appear on a search engine if the engine’s “spider” can see the site. The page that appears will be the page that the spider sees. A spider is essentially a piece of software that automatically browses the web, so it will see the site in a fairly similar way to you. If you see the .co.uk site that is what gets listed. But this does mean that a site will never appear in a search engine. Google only lists sites that it finds by following links in existing sites. So if noone links to your site it will never appear. Some search engines allow you to submit your site, but that mechanism is now a bit outdated.