I don't think so. If this site is to be about "TV & Movies," you cannot divvy up the content into two virtual sites as a means of ignoring one or the other. We don't have separate [science-fiction] and [fantasy] tags on every question on that site. Nor did we divide other sites between [board-games]/[card-games], [electronics]/[robotics], [food]/[cooking], [quality-assurance]/[testing], etc, etc.
In the earliest days of the Cooking site, I had a few users who wanted everything tagged as [vegetarian] or [non-vegetarian]. Everything. It was based on the premise that they were only interested in that part of the site. Tagging does not work that way.
Tagging tells you what the question is about. It was never designed to drag big swaths through the middle of the site. So unless you anticipate a large number of questions explicitly about the subject of "tv-series" or explicitly about "movies", those tags will likely be filtered out (at the community or the data base level).
Tags should tell you what the question is about. Period. If you anticipate that you are going to create a "movie" and "TV" tags as a means to separate the two subjects, that simply is not going to work… nor should it.
Yes, that makes sense. They should be equal partners in this site!