Yes, television fans appreciate attention to detail like this. Faithful fans love to see creators of a show go to such efforts to be true to their favorite series characters and settings. Fans love to see a show come full circle, returning to favorite characters or making references to past episodes.
There are serious fans who follow t.v. shows very closely. In some cases, the fans of a show will know the details of a show better than the people that act on it. For this reason, fans appreciate attention to detail, because it allows the comedy or drama to tell a coherent story.
Yes, there are some television fans that appreciate attention to details in many shows such as "Fraser". Those who become attached to a show are usually able to recognize the small details, which makes the show more enjoyable. Many say that when they watch a movie more than once they see details they didn't see the first time. The same can be said for T.V. show and sitcoms.
No, television fans don't appreciate details like that because they don't pay attention to it. I have watched TV shows all my life and I have noticed when an actor is on a show more than once. If a person pays attention to TV shows, they will notice that a lot of time some actors are on a show multiple times playing different characters.