Eventually they will be but it won't just happen overnight. It'll be many months if not years.
It happens with backlinks too (links from other sites), as people realise your site no longer exists they will remove it from their site.
If you get a domain with traffic, it's always best to park it quick and take advantage of the search engine/type in/linked traffic. It won't disappear immediately, it'll take a year or more for some sites to fully be removed from search engines and links, often many years.
You should notice traffic gradually getting lower as the links from other sites and search engines are removed.
TLD or not, they'll all be removed at the same speed.