Not necessarily. We all understand that Mickey Mouse is owned by Disney. It could be counterintuitive for people who don't often think about copyright to support the idea that Mickey Mouse could be owned by the public, rather than Disney.
This is important to note every time someone brings up Mickey Mouse. The super old "steamboat willie" movies would be out of copyright, but Mickey Mouse would still be a trademark.
In addition, Mickey Mouse is perfectly legal to use in works of parody etc