It seems pretty clear that media tags should not be used in general. Most of the use of the tv and tv-series seem to be in direct violation of that policy.
However, there have been subsequent discussions that show support for some use of those tags, and that may be the source of those qualifiers on the tag wiki excerpts. However, neither of the answers on that Game of Thrones question shows much support, and the vast majority of the questions with the tags in question seem to be using them more as "I saw this one TV", rather than clarification.
A quick look at questions with the tags already shows we're using them rather inconsistently. For example, this question uses tv-series, yet explicitly indicates that it is looking for answers outside of the TV shows.
Some serious cleanup work is probably in order.
In addition to the general cleanup of the tag use, I'd suggest that we clarify the existing tag excerpts to read "This tag is used for content originally distributed by television. It should only be used for titles that exist in multiple formats (tv, books, comics, etc.) and the question is ONLY interested in answers that address the TV version."
EDIT: To address your comments:
In worlds outside of SE, tags are used as quick-indicators to bring you to a reference. Rules seem weird particularly here. You do want to invite guys that say, 'I watched a lot of TV, so let me gear down on that rather than be discouraged by the list in general'- hence the 'tag-ignore' features?
That's precisely why media tags should not be used. Assuming that there are people who say "I am only interested in questions and answers that relate to scifi in [select one from tv/movies/books/comics/video games]", then the tags simply won't allow them to do that.
The first issue is simply that it isn't practical to tag every question with all appropriate media tags. As Iszi explains quite well, there is a five tag limit to questions, and even if there weren't, too many tags would become counter-productive. Imagine a question on K-9, the robotic companion from Doctor Who, where I want to know where/if/how he sleeps: the question could be tagged doctor-who (obvious), tardis (he lived in the Tardis for quite some time), time-travel, k-9, tv, comic, k-9-and-company (the proposed spin-off series), and sarah-jane-adventures (an actual spin-off series in which K-9 was a regular character). That's just too many.
The other issue, which is more directly relevant to your question, is that what you are asking for (enforcing media tag usage so that people could use favorites/ignore to filter based upon their preferred media) simply wouldn't work.
Setting aside that favorite/ignore don't actually filter (they color-code questions), the fact that so many of the topics here span multiple media makes filtering to only questions that relate to a specific medium impossible.
Let's take an actual question as an example: What happened when Master Yoda went to find his Lightsaber crystal?.
This question was triggered by a comment made during an episode of a Star Wars television show. But the answer might be in a comic, novel, movie, television episode, video game, role playing game, trading card, or any other of the myriad of licensed Star Wars sources. If the question is tagged tv, and the answer was "In the book How Yoda Got His Groove Back, it explains that...", your hypothetical person who is only interested in TV shows would see this question in his favorite list, but it wouldn't belong there.
That's really the crux of the problem: even if we could add infinite tags without any downside, a major portion of our questions would either have to have every possible media tag, including many that don't actually relate to the question or answer, or the appropriate media tags could only be determined after the question was answered.
In order to make "I want to filter based off of media tags" possible, the tags would have to be used consistently for every question, and that's simply not possible.
so why exactly offer the favor/ignore-tags features? For questions about broomsticks?
The tag system is part of the larger platform, which drives all of the stackexchange sites. Favorite/ignore is to allow people to help people easily pick out specific topics from the question feed. In our case, Star Wars is a specific topic. Dune is a specific topic. Robots is a specific topic. Time Travel is a specific topic. Television, however, is not a specific topic. Its a "meta" tag, [arguably] useful only for refining searches on other, more specific topics. That blog entry I linked does a much better job than I can of explaining the problem with meta tags. I highly suggest it as a quick read.
BTW, the "broomsticks" tag has only one question, and therefore the tag will probably be removed during the automatic cleanup at some point (unless someone comes up with more "broomstick" questions). It's a bit too specific, imo.
